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Yang, Lihong; Cui, Minggen

New algorithm for a class of nonlinear integro-differential equations in the reproducing kernel space. (English) Zbl 1094.65136

Appl. Math. Comput. 174, No. 2, 942-960 (2006).
This paper is concerned with a new algorithm for giving the approximate solution of a class of nonlinear integro-differential equations in the reproducing kernel space. Two integro-differential equations are solved by the algorithm finding the separable solution. Numerical examples prove the adequacy of the numerical method.
Reviewer: Yves Cherruault (Paris)

Cited in 15 Documents

MSC:

65R20 Numerical methods for integral equations
45J05 Integro-ordinary differential equations
45G10 Other nonlinear integral equations
46E22 Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces)

Keywords:

reproducing kernel space; algorithm; nonlinear integro-differential equations; numerical examples
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\textit{L. Yang} and \textit{M. Cui}, Appl. Math. Comput. 174, No. 2, 942--960 (2006; Zbl 1094.65136)
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References:

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