Numerical solution of linear integro-differential equation by using modified Haar wavelets

Fernane Khaireddine; Ellaggoune Fateh

Research Article

Numerical solution of linear integro-differential equation by using modified Haar wavelets

Year 2016, Volume: 45 Issue: 5, 1393 - 1410, 01.10.2016

Abstract

In this paper, we introduce a numerical method for solving linear Fredholm integro-differential equations of the first order. To solve these equations, we consider the equation solution approximately from rationalized Haar (RH) functions.

The numerical solution of a linear integro-differential equation reduces to solving a linear system of algebraic equations. Also, Some numerical examples are presented to illustrate the efficiency of the method

Keywords

Block-Pulse Functions, Operational matrix, Volterra integral equations, RHFs, Integro-differential equations

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Year 2016, Volume: 45 Issue: 5, 1393 - 1410, 01.10.2016

Fernane Khaireddine Ellaggoune Fateh

Abstract

References

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There are 2 citations in total.

Details

Primary Language	English
Subjects	Mathematical Sciences
Journal Section	Mathematics
Authors	Fernane Khaireddine Ellaggoune Fateh
Publication Date	October 1, 2016
Published in Issue	Year 2016 Volume: 45 Issue: 5

Cite

APA	Khaireddine, F., & Fateh, E. (2016). Numerical solution of linear integro-differential equation by using modified Haar wavelets. Hacettepe Journal of Mathematics and Statistics, 45(5), 1393-1410.
AMA	Khaireddine F, Fateh E. Numerical solution of linear integro-differential equation by using modified Haar wavelets. Hacettepe Journal of Mathematics and Statistics. October 2016;45(5):1393-1410.
Chicago	Khaireddine, Fernane, and Ellaggoune Fateh. “Numerical Solution of Linear Integro-Differential Equation by Using Modified Haar Wavelets”. Hacettepe Journal of Mathematics and Statistics 45, no. 5 (October 2016): 1393-1410.
EndNote	Khaireddine F, Fateh E (October 1, 2016) Numerical solution of linear integro-differential equation by using modified Haar wavelets. Hacettepe Journal of Mathematics and Statistics 45 5 1393–1410.
IEEE	F. Khaireddine and E. Fateh, “Numerical solution of linear integro-differential equation by using modified Haar wavelets”, Hacettepe Journal of Mathematics and Statistics, vol. 45, no. 5, pp. 1393–1410, 2016.
ISNAD	Khaireddine, Fernane - Fateh, Ellaggoune. “Numerical Solution of Linear Integro-Differential Equation by Using Modified Haar Wavelets”. Hacettepe Journal of Mathematics and Statistics 45/5 (October 2016), 1393-1410.
JAMA	Khaireddine F, Fateh E. Numerical solution of linear integro-differential equation by using modified Haar wavelets. Hacettepe Journal of Mathematics and Statistics. 2016;45:1393–1410.
MLA	Khaireddine, Fernane and Ellaggoune Fateh. “Numerical Solution of Linear Integro-Differential Equation by Using Modified Haar Wavelets”. Hacettepe Journal of Mathematics and Statistics, vol. 45, no. 5, 2016, pp. 1393-10.
Vancouver	Khaireddine F, Fateh E. Numerical solution of linear integro-differential equation by using modified Haar wavelets. Hacettepe Journal of Mathematics and Statistics. 2016;45(5):1393-410.