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Solution of differential-difference equations by using differential transform method. (English) Zbl 1148.65310

Summary: We successfully extended the differential transform method, by presenting and proving new theorems, to the solution of differential-difference equations (DDEs). Theorems are presented in the most general form to cover a wide range of DDEs, being linear or nonlinear and the constant or variable coefficients. In order to show the power and the robustness of the method and to illustrate the pertinent features of related theorems, examples are presented.

MSC:

65L10 Numerical solution of boundary value problems involving ordinary differential equations
34K10 Boundary value problems for functional-differential equations
34K28 Numerical approximation of solutions of functional-differential equations (MSC2010)
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