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Zbl 1105.65128
Wazwaz, Abdul-Majid
A comparison study between the modified decomposition method and the traditional methods for solving nonlinear integral equations. (English)
[J] Appl. Math. Comput. 181, No. 2, 1703-1712 (2006). ISSN 0096-3003

Summary: We conduct a comparative study between the modified decomposition method and two of the traditional methods for analytic treatment of nonlinear integral and integro-differential equations. The proper implementation of the modified method can dramatically minimize the size of work if compared to existing traditional techniques. The analysis is accompanied by examples that demonstrate the comparison and show the pertinent features of the modified technique.

MSC 2000:: *65R20 Integral equations (numerical methods)
45G10 Nonsingular nonlinear integral equations
45J05 Integro-ordinary differential equations

Keywords: Fredholm integral equations; Volterra integral equations; series solutions method; direct computation method; Adomian decomposition method; comparison of methods; numerical examples; nonlinear integro-differential equations

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Zentralblatt MATH Berlin [Germany]