Hybrid Bernstein Block-Pulse Functions Method for Second Kind Integral Equations With Convergence Analysis
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Abstract
We introduce a new combination of Bernstein polynomials (BPs) and Block-Pulse functions (BPFs) on the interval [0, 1]. These functions are suitable for finding an approximate solution of the second kind integral equation. We call this method Hybrid Bernstein Block-Pulse Functions Method (HBBPFM). This method is very simple such that an integral equation is reduced to a system of linear equations. On the other hand, convergence analysis for this method is discussed. The method is computationally very simple and attractive so that numerical examples illustrate the efficiency and accuracy of this method.
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Keywords
Statistics and Probability, Interval (graph theory), Economics, Geometry, Epistemology, Mathematical analysis, Convergence Analysis of Iterative Methods for Nonlinear Equations, Bernstein Polynomials, QA1-939, FOS: Mathematics, Anomalous Diffusion Modeling and Analysis, Integral equation, Economic growth, Numerical Analysis, Pulse (music), Statistical Convergence in Approximation Theory and Functional Analysis, Detector, Applied mathematics, Computer science, FOS: Philosophy, ethics and religion, Philosophy, Bernstein polynomial, Combinatorics, Modeling and Simulation, Physical Sciences, Convergence (economics), Simple (philosophy), Telecommunications, Mathematics, Block (permutation group theory), Numerical methods for integral equations, Fredholm integral equations, Theoretical approximation of solutions to integral equations
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0209 industrial biotechnology, 02 engineering and technology, 01 natural sciences, 0103 physical sciences
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11
Volume
2014
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1
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8
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Scopus : 15
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15
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