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- Title
INTRODUCING A NEW APPROACH TO SOLVE NONLINEAR VOLTERRA-FREDHOLM INTEGRAL EQUATIONS.
- Authors
TOFIGH, A. A. CHERAGHI; EZZATI, R.
- Abstract
In this paper, we present a new class of orthogonal basis functions (NOBFs) for solving the nonlinear Volterra-Fredholm integral equations of the second kind (NVFIE2). To do this, first, we construct the operational matrix of integration. Then, by using the proposed method, we reduce the original problem to a nonlinear system of algebraic equations. Finally, to show the applicability of this method, we give some numerical examples.
- Subjects
NUMERICAL solutions to Voterra equations; NUMERICAL solutions to nonlinear integral equations; NUMERICAL solutions to Fredholm equations; VOLTERRA equations; ORTHOGONAL functions; MATHEMATICAL simplification; ALGEBRAIC equations
- Publication
TWMS Journal of Pure & Applied Mathematics, 2019, Vol 10, Issue 2, p175
- ISSN
2076-2585
- Publication type
Article