Solutions of integral and integro-differential equation systems by using differential transform method. (English) Zbl 1165.45300

Arikoglu, Aytac; Ozkol, Ibrahim

Comput. Math. Appl. 56, No. 9, 2411-2417 (2008).

Summary: The differential transform method (DTM) is applied to both integro-differential and integral equation systems. The method is further expanded with a formulation to treat Fredholm integrals. If the system considered has a solution in terms of the series expansion of known functions, this powerful method catches the exact solution. So as to show this capability and robustness, some systems of integral and integro-differential equations are solved as numerical examples.

MSC:

45B05	Fredholm integral equations
65N99	Numerical methods for partial differential equations, boundary value problems

Keywords:

integral equation system; integro-differential equation system; differential transform method; DTM; Fredholm integral

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