IMCS/Publications/CSJM/Issues/CSJM v.15, n.3 (45), 2007/

A Sumudu based algorithm for solving differential equations

Authors: Jun Zhang
Keywords: Algorithm, differential equations, coefficient, Sumudu transform.


An algorithm based on Sumudu transform is developed. The algorithm can be implemented in computer algebra systems like Maple. It can be used to solve differential equations of the following form automatically without human interaction

where pi(x)(i=0, 1, 2, ..., m) and qj(x)(j=0, 1, 2, ..., k) are polynomials. hj(x) are non-rational functions, but their Sumudu transforms are rational. m, k are nonnegative integers.

Jun Zhang
Department of Math and Computer Science
Troy University
Troy, AL 36081, USA


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