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A Sumudu based algorithm for solving differential equations
Authors: Jun Zhang
Keywords: Algorithm, differential equations, coefficient, Sumudu transform.
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.
– 0.12 Mb
Keywords: Algorithm, differential equations, coefficient, Sumudu transform.
Abstract
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 interactionwhere 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
E-mail:
Department of Math and Computer Science
Troy University
Troy, AL 36081, USA
E-mail:
Fulltext
– 0.12 Mb
Contents
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