Sinc methods for quadrature and differential equations
Sinc methods for quadrature and differential equations
Selected papers from the international conference on Numerical solution of Volterra and delay equations
Numerical Solution of Nonlinear Equations
ACM Transactions on Mathematical Software (TOMS)
Summary of Sinc numerical methods
Journal of Computational and Applied Mathematics - Special issue on numerical analysis in the 20th century vol. 1: approximation theory
Practical quasi-Newton methods for solving nonlinear systems
Journal of Computational and Applied Mathematics - Special issue on numerical analysis 2000 Vol. IV: optimization and nonlinear equations
Inverse q-columns updating methods for solving nonlinear systems of equations
Journal of Computational and Applied Mathematics
Jacobian-free Newton-Krylov methods: a survey of approaches and applications
Journal of Computational Physics
A new approach to the numerical solution of weakly singular Volterra integral equations
Journal of Computational and Applied Mathematics
Recent developments of the Sinc numerical methods
Journal of Computational and Applied Mathematics - Special Issue: Proceedings of the 10th international congress on computational and applied mathematics (ICCAM-2002)
Volterra Integral and Differential Equations: SECOND EDITION (Mathematics in Science and Engineering)
Global convergence of quasi-Newton methods based on adjoint Broyden updates
Applied Numerical Mathematics
Pitfalls in fast numerical solvers for fractional differential equations
Journal of Computational and Applied Mathematics
Sinc-collocation methods for weakly singular Fredholm integral equations of the second kind
Journal of Computational and Applied Mathematics
Application of Sinc-collocation method for solving a class of nonlinear Fredholm integral equations
Computers & Mathematics with Applications
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A numerical method based on sinc collocation approximation for a class of nonlinear weakly singular Volterra integral equations of a second kind with non-smooth solution is given. The numerical method given here combines a sinc collocation method with an explicit iterative process that involves solving a nonlinear system of equations. We provide an error analysis for the method. It is shown that the approximate solution converges to the exact solution at the rate of Mexp(-cM), where M is the number of collocation points and c is some positive constant. Some numerical results for several test functions are given to confirm the accuracy and the ease of implementation of the method.