On Bernstein Polynomials Method to the System of Abel Integral Equations
Copyright policy )On Bernstein Polynomials Method to the System of Abel Integral Equations
This paper deals with a new implementation of the Bernstein polynomials method to the numerical solution of a special kind of singular system. For this aim, first the truncated Bernstein series polynomials of the solution functions are substituted in the given problem. Using some properties of these polynomials, the solution of the problem is reduced to solve a linear system of algebraic equations. In order to confirm the reliability and accuracy of the proposed method, some weakly Abel integral equations systems with comparisons are solved in detail as numerical examples.
- King Abdulaziz University Saudi Arabia
- Islamic Azad University, Tehran Iran (Islamic Republic of)
- Institute of Space Sciences Spain
- Institute of Space Science Romania
- Spanish National Research Council Spain
Orthogonal polynomials, Economics, Numerical methods for integral equations, Matrix Valued Polynomials, Mathematical analysis, Quantum mechanics, Orthogonal Polynomials, Convergence Analysis of Iterative Methods for Nonlinear Equations, Approximation by polynomials, QA1-939, FOS: Mathematics, Series (stratigraphy), Biology, Anomalous Diffusion Modeling and Analysis, Order (exchange), Numerical Analysis, Algebra over a field, Applied Mathematics, Physics, Classical orthogonal polynomials, Pure mathematics, Paleontology, Applied mathematics, Bernstein polynomial, Modeling and Simulation, Physical Sciences, Nonlinear system, Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type), Mathematics, Finance, Algebraic equation
Orthogonal polynomials, Economics, Numerical methods for integral equations, Matrix Valued Polynomials, Mathematical analysis, Quantum mechanics, Orthogonal Polynomials, Convergence Analysis of Iterative Methods for Nonlinear Equations, Approximation by polynomials, QA1-939, FOS: Mathematics, Series (stratigraphy), Biology, Anomalous Diffusion Modeling and Analysis, Order (exchange), Numerical Analysis, Algebra over a field, Applied Mathematics, Physics, Classical orthogonal polynomials, Pure mathematics, Paleontology, Applied mathematics, Bernstein polynomial, Modeling and Simulation, Physical Sciences, Nonlinear system, Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type), Mathematics, Finance, Algebraic equation
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