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Zbl 1114.65370
Maleknejad, K.; Sohrabi, S.; Rostami, Y.
Numerical solution of nonlinear Volterra integral equations of the second kind by using Chebyshev polynomials. (English)
[J] Appl. Math. Comput. 188, No. 1, 123-128 (2007). ISSN 0096-3003

Summary: Orthogonal Chebyshev polynomials are developed to approximate the solutions of linear and nonlinear Volterra integral equations. Properties of these polynomials and some operational matrices are first presented. These properties are then used to reduce the integral equations to a system of linear or nonlinear algebraic equations. Numerical examples illustrate the pertinent features of the method.

MSC 2000:: *65R20 Integral equations (numerical methods)
45D05 Volterra integral equations
45G10 Nonsingular nonlinear integral equations

Keywords: linear and nonlinear Volterra integral equation; Chebyshev polynomials; operational matrix; product operation; numerical examples

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