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    1 - A Numerical Solution for 2D-Nonlinear Fredholm Integral Equations Based on Hybrid Functions Basis
    10.30495/ijm2c.2023.1960582.1254
    Maryam Mohammadi A. Zakeri Majid Karami Narges Taheri Raheleh Nouraei
    International Journal of Mathematical Modeling & Computations , Issue 1 , Year , Winter 2023
    This work considers a numerical method based on the 2D-hybrid block-pulse functions and normalized Bernstein polynomials to solve 2D-nonlinear Fredholm integral equations of the second type. These problems are reduced to a system of nonlinear algebraic equations and sol More
    This work considers a numerical method based on the 2D-hybrid block-pulse functions and normalized Bernstein polynomials to solve 2D-nonlinear Fredholm integral equations of the second type. These problems are reduced to a system of nonlinear algebraic equations and solved by Newton's iterative method along with the numerical integration and collocation methods. Also, the convergence theorem for this algorithm is proved. Finally, some numerical examples are given to show the effectiveness and simplicity of the proposed method. Manuscript profile

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