APPLICATION OF HYBRID METHODS TO SOLVING VOLTERRA INTEGRAL EQUATION WITH THE FIXED BOUNDARES

Galina Mehdiyeva; Vagif Ibrahimov; Mehriban Imanova

APPLICATION OF HYBRID METHODS TO SOLVING VOLTERRA INTEGRAL EQUATION WITH THE FIXED BOUNDARES

November 2015

Vol-1, Issue-5

Paper ID: 1456

ISSN: 2395-4396

Downloads: 0

Abstract & Details

Research Area

Applied Mathematics

Keywords

hybrid methods Volterra integral equation accuracy and stability of numerical methods ODE multistep methods with the second derivative

Abstract

In the middle of XX century the scholars began construct the methods which have the best characteristics of the one and multi-step methods with the constant coefficients. And in the 1955 years there appears the works of Gear and Butcher dedicated investigation of the hybrid method. Here we want to show that how this theory developed and compared them with the known methods. Constructed the hybrid method with the higher order of accuracy and illustrated them by the model equation. For application of hybrid methods, here proposed the simple algorithms with the order of accuracy p<=10 in the case, when the amount of the used mesh points is equal to 2 or the order of the difference methods variable satisfies the condition k=1.

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Author Information

#	Name	Institute / Affiliation
1	Galina Mehdiyeva	Baku State University
2	Vagif Ibrahimov	Baku State University
3	Mehriban Imanova	Baku State University

How to Cite

Use the following formats to cite this article in your research.

APA Style

Mehdiyeva, Galina, Ibrahimov, Vagif, & Imanova, Mehriban (2015). APPLICATION OF HYBRID METHODS TO SOLVING VOLTERRA INTEGRAL EQUATION WITH THE FIXED BOUNDARES. International Journal of Advance Research and Innovative Ideas In Education, 1(5), 491-502.

MLA Style

Mehdiyeva, Galina, et al. "APPLICATION OF HYBRID METHODS TO SOLVING VOLTERRA INTEGRAL EQUATION WITH THE FIXED BOUNDARES." International Journal of Advance Research and Innovative Ideas In Education, vol. 1, no. 5, 2015, pp. 491-502.

IEEE Style

Galina Mehdiyeva, Vagif Ibrahimov, and Mehriban Imanova, "APPLICATION OF HYBRID METHODS TO SOLVING VOLTERRA INTEGRAL EQUATION WITH THE FIXED BOUNDARES," International Journal of Advance Research and Innovative Ideas In Education, vol. 1, no. 5, pp. 491-502, 2015.

Vancouver Style

Mehdiyeva Galina, Ibrahimov Vagif, Imanova Mehriban. APPLICATION OF HYBRID METHODS TO SOLVING VOLTERRA INTEGRAL EQUATION WITH THE FIXED BOUNDARES. International Journal of Advance Research and Innovative Ideas In Education. 2015;1(5):491-502.

Harvard Style

Mehdiyeva, Galina, Ibrahimov, Vagif, & Imanova, Mehriban (2015) 'APPLICATION OF HYBRID METHODS TO SOLVING VOLTERRA INTEGRAL EQUATION WITH THE FIXED BOUNDARES', International Journal of Advance Research and Innovative Ideas In Education, 1(5), pp. 491-502.

Chicago Style

Mehdiyeva, Galina, Vagif Ibrahimov, and Mehriban Imanova. "APPLICATION OF HYBRID METHODS TO SOLVING VOLTERRA INTEGRAL EQUATION WITH THE FIXED BOUNDARES." International Journal of Advance Research and Innovative Ideas In Education 1, no. 5 (2015): 491-502.

Turabian Style

Mehdiyeva, Galina, Vagif Ibrahimov, and Mehriban Imanova. "APPLICATION OF HYBRID METHODS TO SOLVING VOLTERRA INTEGRAL EQUATION WITH THE FIXED BOUNDARES." International Journal of Advance Research and Innovative Ideas In Education 1, no. 5 (2015): 491-502.