A simple numerical method for solving non-linear volterra integro–differential equations

Joint Authors

Khani, A.
Shahmorad, Sedaghat

Source

The Arabian Journal for Science and Engineering. Section A, Science

Issue

Vol. 34, Issue 1A (31 Jan. 2009), pp.209-218, 10 p.

Publisher

King Fahd University of Petroleum and Minerals

Publication Date

2009-01-31

Country of Publication

Saudi Arabia

No. of Pages

10

Main Subjects

Mathematics

Topics

Abstract AR

في هذا الورق سنطور طريقة جديدة لإيجاد حل عددي للشكل العام لمعادلات فولتيرا إينتيجرو – التفاضلية اللاخطية (NVIDEs).

لهذه الغاية, سنقدم طريقتنا مستندة على شكل مصفوفة (NVIDEs).

المعاملات المجهولة المقابلة في طريقتنا قد حددت باستخدام الجوانب الحسابية للمصفوفات.

أخيرا دقة الطريقة قد تحققت بتقديم بعض الحسابات العددية.

Abstract EN

-In this paper we will develop a new method to find a numerical solution for the general form of the Non Linear Volterra Integro-Differential Equations (NVIDEs).

To this end, we will present our method based on the matrix form of the (NVIDEs).

The corresponding unknown coefficients of our method have been determined by using the computational aspects of matrices.

Finally the accuracy of the method has been verified by presenting some numerical computation.

American Mathematical Subject Classification (AMSC): 65R20

American Psychological Association (APA)

Khani, A.& Shahmorad, Sedaghat. 2009. A simple numerical method for solving non-linear volterra integro–differential equations. The Arabian Journal for Science and Engineering. Section A, Science،Vol. 34, no. 1A, pp.209-218.
https://search.emarefa.net/detail/BIM-359080

Modern Language Association (MLA)

Khani, A.& Shahmorad, Sedaghat. A simple numerical method for solving non-linear volterra integro–differential equations. The Arabian Journal for Science and Engineering. Section A, Science Vol. 34, no. 1A (Jan. 2009), pp.209-218.
https://search.emarefa.net/detail/BIM-359080

American Medical Association (AMA)

Khani, A.& Shahmorad, Sedaghat. A simple numerical method for solving non-linear volterra integro–differential equations. The Arabian Journal for Science and Engineering. Section A, Science. 2009. Vol. 34, no. 1A, pp.209-218.
https://search.emarefa.net/detail/BIM-359080

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references : p. 218

Record ID

BIM-359080