c program for taylor series method to solve differential equations


Made to work with c as well as c++ (using gnu gcc and g++), Fixed time measurement in c and c++ (Also note Maple time is CPU time - Maxima, C and C++ time are clock time), Fixed digits field in table for c and c++, Added number of correct digits to output and table when analytic solution given. September 6, 2012 Added capability to display values calculated only at specified intervals.

We use cookies to ensure you have the best browsing experience on our website. The number of h indicates step size. of the next increment. January 4, 2014 Equations no longer must all be on one line each. small h and increase it until the estimated truncation error is as large as specified as permissible. Added beautify program for tcppl.sh script. Because some tests reached max time, Maxima has greater observed accuracy, but only because it is slower and had fewer iterations to accumulate error. January 8, 2014 - Extensive tests after many important changes. May 25-31, 2012 - Links to detail files added to tables generated.

), Comparisons with other tools - ATOMFT, Maple dsolve and maxima runga-kutta, Comparisons for First Painleve transcendent y''(t) = 6*y(t)*y(t) + t, y(0) = 1, y'(0) = 0. (Mostly Done - except difficulties in a few cases). Find its approximate solution using Euler method. Problem with comments in the 1st (equation) section. Omnisode solutions using different increments using Maple as the target language. Given a differential equation dy/dx = f(x, y) with initial condition y(x0) = y0. SOLUTION We assume there is a solution of the form Then and as in Example 1. January 9-19, 2014 Fixed - It had seemed in some cases spaces were needed to separate tokens in equations in ode file. Constant to full series power not accurate.

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of the next increment. Extensive tests for Maple, Maxima, and c++, new results (increment increased by factor of 10 ), new results (mult H & and iterations by factors of 10 ), new results (iterations increased by factor of 10 ), tests using three methods on difficult system of equations, tests (2nd try) using three methods on difficult system of equations. Both tar.gz and zip versions - contents should be identical.

Of course, you must obtain, c, c++, ruby, maxima or maple separately.
February 7-11, 2014 Devised tomni.rb to replace shell scripts - works also for windows.

Arbitrary Precision (interval) Floating Point Arithmetic.

Test Results for c for improved arcsin for linear input function. Then … By using our site, you (expt_c_sin_new.ode) - Fixed. The ACM Digital Library is published by the Association for Computing Machinery.

the ratio of the new h to the old h. In the beginning I determine h by starting with a very

- Do 1st in Ruby then other languages. USING SERIES TO SOLVE DIFFERENTIAL EQUATIONS 3 EXAMPLE 2 Solve . code. ".odes" files - "easy.odes" and "any.odes" are provided along with many ".ode" files.

A long Taylor series method, pioneered by Prof. Y.F.

January 9-19, 2014 Singularity analysis studied thoroughly. Chang, who taught at the University of Nebraska I no longer have Maple available. Department of Mathematics, Statistics, and Computer Science, Marquette University, Milwaukee, WI, Department of Computer Science, University of Nebraska--Lmcoln, Lincoln, NE. Need more systematic testing for cases where error seems larger (with similar h). January 7, 2014 Made it possible to have comments or blank lines in equation section. in "ode" file. May 25-31, 2012 - Automatic indentation of programs generated. January 4, 2014 I made log10 only compute log(10.0) only once - only needed for maxima.

Report of tests for c. c++, Maple, and Maxima (WITH LARGER H - 0.005). Unfortunately, I became ill and was unable to complete my Masters degree. 4/8/2015 - Synced with aptst program (compares with Maple) and made some corrections - released in aptst0007.zip on. Bull. May 25-31, 2012 - Work files moved to "temp" subdirectory.

Make sure working correctly in cases it should handle - make "odes" file that contains all such cases.

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