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A PASCAL program for solving systems of nonstiff ordinary differential equations

โœ Scribed by D.J. Perreault


Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
552 KB
Volume
16
Category
Article
ISSN
0965-9978

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โœฆ Synopsis


Systems of nonstiff ordinary differential equations phrased as initial value problems are common in many engineering applications. A PASCAL program is presented which allows rapid specification and solution of this type of problem using the Runge-Kutta-Fehlberg method. The program is suitable for implementation on a personal computer. A simulation of a dynamically shifted oscillator is presented as an example.


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Based on the idea of quasi-interpolation and radial basis functions approximation, a numerical method is developed to quasi-interpolate the forcing term of di erential equations by using radial basis functions. A highly accurate approximation for the solution can then be obtained by solving the corr