Algorithms for solving linear, non-linear differential and differential-difference equations by approximating the solution to polynomials
by Sameh Abdelwahab Nasr Eisa
International Journal of Computing Science and Mathematics (IJCSM), Vol. 5, No. 3, 2014

Abstract: In this paper, a simple methodology for solving initial/boundary value problems for linear/non-linear differential and differential-difference equations is proposed, by approximating the solution to polynomials. The method is based on direct substitution by the assumed polynomials into DEs themselves and then solving system of equations to compute the coefficients of the polynomials. Comparisons of the results are performed with other works published during the last decade through practical examples, which have shown significant progress in the accuracy and the simplicity. This will give the researchers more advantage to use this method especially the engineers.

Online publication date: Sat, 27-Sep-2014

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