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Zbl 1190.65199
Wazwaz, Abdul-Majid
The combined Laplace transform-Adomian decomposition method for handling nonlinear Volterra integro-differential equations. (English)
[J] Appl. Math. Comput. 216, No. 4, 1304-1309 (2010). ISSN 0096-3003

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 2000:: *65R20 Integral equations (numerical methods)
44A10 Laplace transform
45D05 Volterra integral equations
45G10 Nonsingular nonlinear integral equations
45J05 Integro-ordinary differential equations

Keywords: nonlinear Volterra integro-differential equations; Laplace transform method; Adomian decomposition method; numerical examples

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