Chebyshev Solution of Differential, Integral and Integro-Differential Equations | Zendy

S.E. El-Gendi | Zendy

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Chebyshev Solution of Differential, Integral and Integro-Differential Equations

Author(s) -

S.E. El-Gendi

Publication year - 1969

Publication title -

the computer journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.319

H-Index - 64

eISSN - 1460-2067

pISSN - 0010-4620

DOI - 10.1093/comjnl/12.3.282

Subject(s) - mathematics , integral equation , differential equation , volterra integral equation , type (biology) , chebyshev polynomials , chebyshev iteration , mathematical analysis , fredholm integral equation , ordinary differential equation , numerical partial differential equations , ecology , biology

This paper describes a new method for the numerical solution of linear integral equations of Fredholm type and of Volterra type. The method has been extended to the linear integrodifferential equations and ordinary differential equations. It can also be applied to non-linear problems. In each case numerical examples are treated and the method compares quite favourably with other known methods. (Received March 1969)

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