Numerical Solution and Stability of Block Method for Solving Functional Differential Equations View Full Text


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Chapter Info

DATE

2014-04-27

AUTHORS

Fuziyah Ishak , Mohamed B. Suleiman , Zanariah A. Majid

ABSTRACT

In this article, we describe the development of a two-point block method for solving functional differential equations. The block method, implemented in variable stepsize technique produces two approximations simultaneously using the same back values. The grid-point formulae for the variable steps are derived, calculated and stored at the start of the program for greater efficiency. The delay solutions for the unknown function and its derivative at earlier times are interpolated using the previous computed values. Stability regions for the block method are illustrated. Numerical results are given to demonstrate the accuracy and efficiency of the block method. More... »

PAGES

597-609

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-94-017-8832-8_43

DOI

http://dx.doi.org/10.1007/978-94-017-8832-8_43

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1019274235


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