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

Fernane Khaireddine; Ellaggoune Fateh

EN

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

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

References

.
.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Fernane Khaireddine ^*

Ellaggoune Fateh

Publication Date

October 1, 2016

Submission Date

April 12, 2015

Acceptance Date

February 13, 2016

Published in Issue

Year 2016 Volume: 45 Number: 5

IZ

https://izlik.org/JA92ZL46GM

Cite

RIS / Bibtex

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. https://izlik.org/JA92ZL46GM

AMA

1.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):1393-1410. https://izlik.org/JA92ZL46GM

Chicago

Khaireddine, Fernane, and Ellaggoune Fateh. 2016. “Numerical Solution of Linear Integro-Differential Equation by Using Modified Haar Wavelets”. Hacettepe Journal of Mathematics and Statistics 45 (5): 1393-1410. https://izlik.org/JA92ZL46GM.

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

[1]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, Oct. 2016, [Online]. Available: https://izlik.org/JA92ZL46GM

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 1, 2016): 1393-1410. https://izlik.org/JA92ZL46GM.

JAMA

1.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, Oct. 2016, pp. 1393-10, https://izlik.org/JA92ZL46GM.

Vancouver

1.Fernane Khaireddine, Ellaggoune Fateh. Numerical solution of linear integro-differential equation by using modified Haar wavelets. Hacettepe Journal of Mathematics and Statistics [Internet]. 2016 Oct. 1;45(5):1393-410. Available from: https://izlik.org/JA92ZL46GM