Numerical solution of nonlinear volterra integral equations using the idea of quasilinearization |
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Institution: | 1. Department of Applied Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran;2. Mahani Mathematical Research Center, Shahid Bahonar University of Kerman, Kerman, Iran |
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Abstract: | The iterations of the quasilinear technique, employed in nonlinear volterra integral equations, are expressed as linear integral equations. By using Collocation Method, the solutions of these linear equations are approximated. Combining this and iterations of the quasilinear technique yields an approximation solution for nonlinear integral equations. The convergence is considered and the examples confirm the accuracy of the solution. |
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