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Zbl 1056.65144
Maleknejad, K.; Mirzaee, F.; Abbasbandy, S.
Solving linear integro-differential equations system by using rationalized Haar functions method. (English)
[J] Appl. Math. Comput. 155, No. 2, 317-328 (2004). ISSN 0096-3003

Summary: We use rationalized Haar functions to estimate the solution of a system of linear integro-differential equations. Properties of rationalized Haar functions are first presented, and the operational matrix of the product of two rationalized Haar function vectors is utilized to reduce the computation of the linear integro-differential equations system to some algebraic equations. By using numerical examples we show our estimation have a good degree of accuracy.

MSC 2000:: *65R20 Integral equations (numerical methods)
45J05 Integro-ordinary differential equations
45R05 Random integral equations
65T60 Wavelets

Keywords: linear integro-differential equations system; operational matrix; product operation; rationalized Haar functions; numerical examples

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Zentralblatt MATH Berlin [Germany]