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.


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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