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A Sumudu based algorithm for solving differential equations. (English) Zbl 1187.34015

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

i=0 m p i (x)y (i) (x)= j=0 k q j (x)h j (x),

where p i (x) (i=0,1,,m) and q j (x) (j=0,1,k) are polynomials. h j (x) are non-rational functions, but their Sumudu transforms are rational. m, k are nonnegative integers.

MSC:
34A45Theoretical approximation of solutions of ODE
34A30Linear ODE and systems, general
34A25Analytical theory of ODE (series, transformations, transforms, operational calculus, etc.)
34-04Machine computation, programs (ordinary differential equations)
68W30Symbolic computation and algebraic computation
Software:
gfun; Maple