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The combined Laplace transform-Adomian decomposition method for handling nonlinear Volterra integro-differential equations. (English) Zbl 1190.65199

Summary: A combined form of the Laplace transform method with the Adomian decomposition method is developed for analytic treatment of the nonlinear Volterra integro-differential equations. The combined method is capable of handling both equations of the first and second kind. Illustrative examples will be examined to support the proposed analysis.

MSC:

65R20 Numerical methods for integral equations
44A10 Laplace transform
45D05 Volterra integral equations
45G10 Other nonlinear integral equations
45J05 Integro-ordinary differential equations
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References:

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