Contents V.10, N.2, 2019

  • INTRODUCING A NEW APPROACH TO SOLVE NONLINEAR VOLTERRA-FREDHOLM INTEGRAL EQUATIONS
    A.A. CHERAGHI TOFIGH, R. EZZATI (pp. 175-187)

    • 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.

    Keywords:

    block-pulse functions, Volterra-Fredholm integral equations, integral operational matrix, introducing new basis.

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