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Zbl 1187.34015
Zhang, Jun
A Sumudu based algorithm for solving differential equations.
(English)
[J] Comput. Sci. J. Mold. 15, No. 3, 303-313 (2007). ISSN 1561-4042

Summary: An algorithm based on Sumudu transform is developed. The algorithm can be implemented in computer algebra systems like {tt Maple}. It can be used to solve differential equations of the following form automatically without human interaction $$\sum^m_{i=0} p_i(x)y^{(i)}(x)=\sum^k_{j=0} q_j(x)h_j(x),$$ where $p_i(x)$ $(i = 0,1,\dots,m)$ and $q_j(x)$ $(j = 0,1,\dots k)$ are polynomials. $h_j(x)$ are non-rational functions, but their Sumudu transforms are rational. $m$, $k$ are nonnegative integers.
MSC 2000:
*34A45 Theoretical approximation of solutions of ODE
34A30 Linear ODE and systems
34A25 Analytical theory of ODE
34-04 Machine computation, programs (ordinary differential equations)
68W30 Symbolic computation and algebraic computation

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