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Zbl 1061.65146
Rashed, M.T.
Numerical solution of functional differential, integral and integro-differential equations. (English)
[J] Appl. Math. Comput. 156, No. 2, 485-492 (2004). ISSN 0096-3003

Summary: This paper describes a numerical method, based on Lagrange interpolation and Chebyshev interpolation, to treat functional integral equations of Volterra type and Fredholm type. Also, the method can be extended to functional differential and integro-differential equations. Various numerical examples are treated.

MSC 2000:: *65R20 Integral equations (numerical methods)
65L05 Initial value problems for ODE (numerical methods)
34K28 Numerical approximation of solutions of FDE
45J05 Integro-ordinary differential equations
45D05 Volterra integral equations

Keywords: Lagrange interpolation; Functional integral equations of the second kind; Functional integro-differential equations; Functional differential equations of first or second order; Chebyshev interpolation; numerical examples

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Zentralblatt MATH Berlin [Germany]