The iterated Galerkin method for linear integro-differential equations
Journal of Computational and Applied Mathematics
Ten lectures on wavelets
Journal of Computational and Applied Mathematics
Pitfalls in fast numerical solvers for fractional differential equations
Journal of Computational and Applied Mathematics
International Journal of Computer Mathematics
Fixed point method for solving nonlinear quadratic Volterra integral equations
Computers & Mathematics with Applications
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In this paper we apply the fixed point method to solve some nonlinear functional Volterra integral equations which appear in many physical, chemical, and biological problems. In each iteration of this method, cubic semi-orthogonal compactly supported B-spline wavelets are used as basis functions to approximate the solution. Also, the convergence of this numerical method is investigated and some examples are presented to show the accuracy and convergence of the method.