WE WRITE CUSTOM ACADEMIC PAPERS

100% Original, Plagiarism Free, Tailored to your instructions

Order Now!

scientific computing python coding

scientific computing python coding;
1. (a) Write a code to solve for the motion of the anharmonic oscillator described by the equation
dzx
W = -w2x3
Take to = 1 and initial conditions x = 1 and dx/dt = 0 and make a plot of the motion of the
oscillator from t = 0 to 20. Increase the amplitude to 10. You should observe that the oscillator
oscillates faster at higher amplitudes. (You can try lower amplitudes too if you like, which should
be slower.)
(b) Modify your program so that instead of plotting x against t, it plots dx/dt against x, i.e., the
velocity of the oscillator against its position. Such a plot is called a phase space plot. Make sure
you say pylab.axis(’equal’) to ensure the plot axes have the same length for the phase space plots.
(c) How does the behaviour in (a) and (b) differ (quantitatively) from a normal harmonic oscillator?
(Just run your code again after modifying the equation appropriately.) [30]
2. Consider the differential equation (called van der Pol oscillator):
x”(t) = -x – ¢-:(x2 – 1)x’(t),x(0) = 0.5, x’(0) = 0,
where e is a positive constant. As the value of 6 increases, this equation becomes increasingly stiff.
(a) Convert this equation to two first-order equations.
(b) Solve these equations using the Runge-Kutta method of 4th order provided in class with
e = 10, and [a, b] = [0, 1071:] and different choices of step-size: h = 0.02, 0.05 and 0.1. Plot
all solutions (one-by-one, in the above order), along with the solution obtained by using
the in-build scipy. integrate . odeint using linear axes, and (in a separate figure) plot the
absolute errors of all solutions using semi-log axes. What do you observe? Note that the in-
build method has a different interface to the function defining the equation(s) compared to
the supplied functions (the arguments are reversed). Result is also formatted differently,
check the help..
(c) Make a phase-space (coordinate vs. velocity) plot of the scipy . integrate . ode int solution
for e = 1, 4 and 10. Make sure you use a small enough value of the time interval h to get a
smooth, accurate phase space plot and again use p1 . axis ( ’ equal ’ ). [40]
3. Fourier filtering and smoothing
On Study Direct you’ll find a file called dow.txt. It contains the daily closing value for each
business day from late 2006 until the end of 2010 of the Dow Jones Industrial Average, which is a
measure of average prices of the largest companies of the US stock market.
Write a program to do the following:
12121.71
12136.44
12226.73
12221.93
12194.13
12283.85
12331.6
12309.25
12278.41
12307.48
12328.48
12315.58
12317.5
12416.76
12445.52
12441.27
12471.32
12463.87
12421.25
12343.21
12407.63
12510.57
12501.52
12463.15
12474.52
12480.69
12398.01
12423.49
12416.6
12442.16
12514.98
12556.08
12582.59
12577.15
12567.93
12565.53
12477.16
12533.8
12621.77
12502.56
12487.02
12490.78
12523.31
12621.69
12673.68
12653.49
12661.74
12666.31
12666.87
12637.63
12580.83
12552.55
12654.85
12741.86
12765.01
12767.57
12786.64
12738.41
12686.02
12647.48
12632.26
12216.24
12268.63
12234.34
12114.1
12050.41
12207.59
12192.45
12260.7
12276.32
12318.62
12075.96
12133.4
12159.68
12110.41
12226.17
12288.1
12447.52
12461.14
12481.01
12469.07
12397.29
12300.36
12348.75
12354.35
12382.3
12510.93
12530.05
12560.83
12569.14
12573.85
12484.62
12552.96
12612.13
12720.46
12773.04
12803.84
12808.63
12961.98
12919.4
12953.94
13089.89
13105.5
13120.94
13062.91
13136.14
13211.88
13241.38
13264.62
13312.97
13309.07
13362.87
13215.13
13326.22
13346.78
13383.84
13487.53
13476.72
13556.53
13542.88
13539.95
13525.65
13441.13
13507.28
13521.34
13633.08
13627.64
13668.11
13676.32
13595.46
13465.67
13266.73
13424.39
13424.96
13295.01
13482.35
13553.73
13639.48
13612.98
13635.42
13489.42
13545.84
13360.26
13352.05
13337.66
13427.73
13422.28
13408.62
13535.43
13577.3
13565.84
13611.68
13649.97
13501.7
13577.87
13861.73
13907.25
13950.98
13971.55
13918.22
14000.41
13851.08
13943.42
13716.95
13785.07
13473.57
13265.47
13358.31
13211.99
13362.37
13463.33
13181.91
13468.78
13504.3
13657.86
13270.68
13239.54
13236.53
13028.92
12861.47
12845.78
13079.08
13121.35
13090.86
13236.13
13235.88
13378.87
13322.13
13041.85
13289.29
13238.73
13357.74
13448.86
13305.47
13363.35
13113.38
13127.85
13308.39
13291.65
13424.88
13442.52
13403.42
13739.39
13815.56
13766.7
13820.19
13759.06
13778.65
13878.15
13912.94
13895.63
14087.55
14047.31
13968.05
13974.31
14066.01
14043.73
14164.53
14078.69
14015.12
14093.08
13984.8
13912.94
13892.54
13888.96
13522.02
13566.97
13676.23
13675.25
13671.92
13806.7
13870.26
13792.47
13930.01
13567.87
13595.1
13543.4
13660.94
13300.02
13266.29
13042.74
12987.55
13307.09
13231.01
13110.05
13176.79
12958.44
13010.14
12799.04
12980.88
12743.44
12958.44
13289.45
13311.73
13371.72
13314.57
13248.73
13444.96
13619.89
13625.58
13727.03
13432.77
13473.9
13517.96
13339.85
13167.2
13232.47
13207.27
13245.64
13450.65
13550.04
13551.69
13359.61
13365.87
13264.82
13043.96
13056.72
12800.18
12827.49
12589.07
12735.31
12853.09
12606.3
12778.15
12501.11
12466.16
12159.21
12099.3
11971.19
12270.17
12378.61
12207.17
12383.89
12480.3
12442.83
12650.36
12743.19
12635.16
12265.13
12200.1
12247
12182.13
12240.01
12373.41
12552.24
12376.98
12348.21
12337.22
12427.26
12284.3
12381.02
12570.22
12684.92
12694.28
12582.18
12266.39
12258.9
12213.8
12254.99
12040.39
11893.69
11740.15
12156.81
12110.24
12145.74
11951.09
11972.25
12392.66
12099.66
12361.32
12548.64
12532.6
12422.86
12302.46
12216.4
12262.89
12654.36
12608.92
12626.03
12609.42
12612.43
12576.44
12527.26
12581.98
12325.42
12302.06
12362.47
12619.27
12620.49
12849.36
12825.02
12720.23
12763.22
12848.95
12891.86
12871.75
12831.94
12820.13
13010
13058.2
12969.54
13020.83
12814.35
12866.78
12745.88
12876.05
12832.18
12898.38
12992.66
12986.8
13028.16
12828.68
12601.19
12625.62
12479.63
12548.35
12594.03
12646.22
12638.32
12503.82
12402.85
12390.48
12604.45
12209.81
12280.32
12289.76
12083.77
12141.58
12307.35
12269.08
12160.3
12029.06
12063.09
11842.69
11842.36
11807.43
11811.83
11453.42
11346.51
11350.01
11382.26
11215.51
11288.53
11231.96
11384.21
11147.44
11229.02
11100.54
11055.19
10962.54
11239.28
11446.66
11496.57
11467.34
11602.5
11632.38
11349.28
11370.69
11131.08
11397.56
11583.69
11378.02
11326.32
11284.15
11615.77
11656.07
11431.43
11734.32
11782.35
11642.47
11532.96
11615.93
11659.9
11479.39
11348.55
11417.43
11430.21
11628.06
11386.25
11412.87
11502.51
11715.18
11543.55
11516.92
11532.88
11188.23
11220.96
11510.74
11230.73
11268.92
11433.71
11421.99
10917.51
11059.02
10609.66
11019.69
11388.44
11015.69
10854.17
10825.17
11022.06
11143.13
10365.45
10850.66
10831.07
10482.85
10325.38
9955.5
9447.11
9258.1
8579.19
8451.19
9387.61
9310.99
8577.91
8979.26
8852.22
9265.43
9045.21
8519.21
8691.25
8378.95
8175.77
9065.12
8990.96
9180.69
9325.01
9319.83
9625.28
9139.27
8695.79
8943.81
8870.54
8693.96
8282.66
8835.25
8497.31
8273.58
8424.75
7997.28
7552.29
8046.42
8443.39
8479.47
8726.61
8829.04
8149.09
8419.09
8591.69
8376.24
8635.42
8934.18
8691.33
8761.42
8565.09
8629.68
8564.53
8924.14
8824.34
8604.99
8579.11
8519.69
8419.49
8468.48
8515.55
8483.93
8668.39
8776.39
9034.69
8952.89
9015.1
8769.7
8742.46
8599.18
8473.97
8448.56
8200.14
8212.49
8281.22
7949.09
8228.1
8122.8
8077.56
8116.03
8174.73
8375.45
8149.01
8000.86
7936.83
8078.36
7956.66
8063.07
8280.59
8270.87
7888.88
7939.53
7932.76
7850.41
7552.6
7555.63
7465.95
7365.67
7114.78
7350.94
7270.89
7182.08
7062.93
6763.29
6726.02
6875.84
6594.44
6626.94
6547.05
6926.49
6930.4
7170.06
7223.98
7216.97
7395.7
7486.58
7400.8
7278.38
7775.86
7660.21
7749.81
7924.56
7776.18
7522.02
7608.92
7761.6
7978.08
8017.59
7975.85
7789.56
7837.11
8083.38
8057.81
7920.18
8029.62
8125.43
8131.33
7841.73
7969.56
7886.57
7957.06
8076.29
8025
8016.95
8185.73
8168.12
8212.41
8426.74
8410.65
8512.28
8409.85
8574.65
8418.77
8469.11
8284.89
8331.32
8268.64
8504.08
8474.85
8422.04
8292.13
8277.32
8473.49
8300.02
8403.8
8500.33
8721.44
8740.87
8675.24
8750.24
8763.13
8764.49
8763.06
8739.02
8770.92
8799.26
8612.13
8504.67
8497.18
8555.6
8539.73
8339.01
8322.91
8299.86
8472.4
8438.39
8529.38
8447
8504.06
8280.74
8324.87
8163.6
8178.41
8183.17
8146.52
8331.68
8359.49
8616.21
8711.82
8743.94
8848.15
8915.94
8881.26
9069.29
9093.24
9108.51
9096.72
9070.72
9154.46
9171.61
9286.56
9320.19
9280.97
9256.26
9370.07
9337.95
9241.45
9361.61
9398.19
9321.4
9135.34
9217.94
9279.16
9350.05
9505.96
9509.28
9539.29
9543.52
9580.63
9544.2
9496.28
9310.6
9280.67
9344.61
9441.27
9497.34
9547.22
9627.48
9605.41
9626.8
9683.41
9791.71
9783.92
9820.2
9778.86
9829.87
9748.55
9707.44
9665.19
9789.36
9742.2
9712.28
9509.28
9487.67
9599.75
9731.25
9725.58
9786.87
9864.94
9885.8
9871.06
10015.86
10062.94
9995.91
10092.19
10041.48
9949.36
10081.31
9972.18
9867.96
9882.17
9762.69
9962.58
9712.73
9789.44
9771.91
9802.14
10005.96
10023.42
10226.94
10246.97
10291.26
10197.47
10270.47
10406.96
10437.42
10426.31
10332.44
10318.16
10450.95
10433.71
10464.4
10309.92
10344.84
10471.58
10452.68
10366.15
10388.9
10390.11
10285.97
10337.05
10405.83
10471.5
10501.05
10452
10441.12
10308.26
10328.89
10414.14
10464.93
10466.44
10520.1
10547.08
10545.41
10548.51
10428.05
10583.96
10572.02
10573.68
10606.86
10618.19
10663.99
10627.26
10680.77
10710.55
10609.65
10725.43
10603.15
10389.88
10172.98
10196.86
10194.29
10236.16
10120.46
10067.33
10185.53
10296.85
10270.55
10002.18
10012.23
9908.39
10058.64
10038.38
10144.19
10099.14
10268.81
10309.24
10392.9
10402.35
10383.38
10282.41
10374.16
10321.03
10325.26
10403.79
10405.98
10396.76
10444.14
10566.2
10552.52
10564.38
10567.33
10611.84
10624.69
10642.15
10685.98
10733.67
10779.17
10741.98
10785.89
10888.83
10836.15
10841.21
10850.36
10895.86
10907.42
10856.63
10927.07
10973.55
10969.99
10897.52
10927.07
10997.35
11005.97
11019.42
11123.11
11144.57
11018.66
11092.05
11117.06
11124.92
11134.29
11204.28
11205.03
10991.99
11045.27
11167.32
11008.61
11151.83
10926.77
10868.12
10520.32
10380.43
10785.14
10748.26
10896.91
10782.95
10620.16
10625.83
10510.95
10444.37
10068.01
10193.39
10066.57
10043.75
9974.45
10258.99
10136.63
10024.02
10249.54
10255.28
9931.97
9816.49
9939.98
9899.25
10172.53
10211.07
10190.89
10404.77
10409.46
10434.17
10450.64
10442.41
10293.52
10298.44
10152.8
10143.81
10138.52
9870.3
9774.02
9732.53
9686.48
9743.62
10018.28
10138.99
10198.03
10216.27
10363.02
10366.72
10359.31
10097.9
10154.43
10229.96
10120.53
10322.3
10424.62
10525.43
10537.69
10497.88
10467.16
10465.94
10674.38
10636.38
10680.43
10674.98
10653.56
10698.75
10644.25
10378.83
10319.95
10303.15
10302.01
10405.85
10415.54
10271.21
10213.62
10174.41
10040.45
10060.06
9985.81
10150.65
10009.73
10014.72
10269.47
10320.1
10447.93
10340.69
10387.01
10415.24
10462.77
10544.13
10526.49
10572.73
10594.83
10607.85
10753.62
10761.03
10739.31
10662.42
10860.26
10812.04
10858.14
10835.28
10788.05
10829.68
10751.27
10944.72
10967.65
10948.58
11006.48
11010.34
11020.4
11096.08
11096.92
11062.78
11143.69
10978.62
11107.97
11146.57
11132.56
11164.05
11169.46
11126.28
11113.95
11118.4
11124.62
11188.72
11215.13
11434.84
11444.08
11406.84
11346.75
11357.04
11283.1
11192.58
11201.97
11023.5
11007.88
11181.23
11203.55
11178.58
11036.37
11187.28
11092
11052.49
11006.02
11255.78
11362.41
11382.09
11362.19
11359.16
11372.48
11370.06
11410.32
11428.56
11476.54
11457.47
11499.25
11491.91
11478.13
PLACE THIS ORDER OR A SIMILAR ORDER WITH US TODAY AND GET AN AMAZING DISCOUNT ?

Our Service Charter

  1. Excellent Quality / 100% Plagiarism-Free

    We employ a number of measures to ensure top quality essays. The papers go through a system of quality control prior to delivery. We run plagiarism checks on each paper to ensure that they will be 100% plagiarism-free. So, only clean copies hit customers’ emails. We also never resell the papers completed by our writers. So, once it is checked using a plagiarism checker, the paper will be unique. Speaking of the academic writing standards, we will stick to the assignment brief given by the customer and assign the perfect writer. By saying “the perfect writer” we mean the one having an academic degree in the customer’s study field and positive feedback from other customers.
  2. Free Revisions

    We keep the quality bar of all papers high. But in case you need some extra brilliance to the paper, here’s what to do. First of all, you can choose a top writer. It means that we will assign an expert with a degree in your subject. And secondly, you can rely on our editing services. Our editors will revise your papers, checking whether or not they comply with high standards of academic writing. In addition, editing entails adjusting content if it’s off the topic, adding more sources, refining the language style, and making sure the referencing style is followed.
  3. Confidentiality / 100% No Disclosure

    We make sure that clients’ personal data remains confidential and is not exploited for any purposes beyond those related to our services. We only ask you to provide us with the information that is required to produce the paper according to your writing needs. Please note that the payment info is protected as well. Feel free to refer to the support team for more information about our payment methods. The fact that you used our service is kept secret due to the advanced security standards. So, you can be sure that no one will find out that you got a paper from our writing service.
  4. Money Back Guarantee

    If the writer doesn’t address all the questions on your assignment brief or the delivered paper appears to be off the topic, you can ask for a refund. Or, if it is applicable, you can opt in for free revision within 14-30 days, depending on your paper’s length. The revision or refund request should be sent within 14 days after delivery. The customer gets 100% money-back in case they haven't downloaded the paper. All approved refunds will be returned to the customer’s credit card or Bonus Balance in a form of store credit. Take a note that we will send an extra compensation if the customers goes with a store credit.
  5. 24/7 Customer Support

    We have a support team working 24/7 ready to give your issue concerning the order their immediate attention. If you have any questions about the ordering process, communication with the writer, payment options, feel free to join live chat. Be sure to get a fast response. They can also give you the exact price quote, taking into account the timing, desired academic level of the paper, and the number of pages.

Excellent Quality
Zero Plagiarism
Expert Writers

Instant Quote

Subject:
Type:
Pages/Words:
Single spaced
approx 275 words per page
Urgency (Less urgent, less costly):
Level:
Currency:
Total Cost: NaN

Get 10% Off on your 1st order!