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Posteriori error estimates for the nonlinear Volterra-Fredholm integral equations

✍ Scribed by M. Hadizadeh

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
721 KB
Volume
45
Category
Article
ISSN
0898-1221

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✦ Synopsis

we study the numerical approximation of the nonlinear Volterra-F'redholm integral equations by combining the discrete time collocation method [I] and the new formulation of Kumar and Sloan [2], which converts an integral equation of the conventional Hammerstein form into a conductive form for approximation by a collocation method. The intrinsic merit of this alternative formulation lies in its computational savings. Posterior-i error estimates of the method for two typical nonlinearities (i.e., algebraic and exponential nonlinearity) are obtained. Some remarks on the generalization of the method to higher-dimensional cases are offered, and finally some numerical examples are given.

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