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

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.


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)
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