Numerical solution of functional differential, integral and integro-differential equations. (English) Zbl 1061.65146

Rashed, M. T.

Appl. Math. Comput. 156, No. 2, 485-492 (2004).

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:

65R20	Numerical methods for integral equations
65L05	Numerical methods for initial value problems involving ordinary differential equations
34K28	Numerical approximation of solutions of functional-differential equations (MSC2010)
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

References:

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