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Title: :  APPLICATION OF HYBRID METHODS TO SOLVING VOLTERRA INTEGRAL EQUATION WITH THE FIXED BOUNDARES
PaperId: :  1456
Published in:   International Journal Of Advance Research And Innovative Ideas In Education
Publisher:   IJARIIE
e-ISSN:   2395-4396
Volume/Issue:    Volume 1 Issue 5 2015
DUI:    16.0415/IJARIIE-1456
Licence: :   IJARIIE is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

Author NameAuthor Institute
Galina MehdiyevaBaku State University
Vagif IbrahimovBaku State University
Mehriban ImanovaBaku State University

Abstract

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

Citations

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IJARIIE 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 Volume 1 Issue 5 2015 Page 491-502
MLA 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 1.5(2015) : 491-502.
APA Galina Mehdiyeva, Vagif Ibrahimov, & Mehriban Imanova. (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.
Chicago 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 1, no. 5 (2015) : 491-502.
Oxford 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, 2015, p. 491-502. Available from IJARIIE, http://ijariie.com/AdminUploadPdf/APPLICATION_OF_HYBRID_METHODS_TO_SOLVING_VOLTERRA_INTEGRAL_EQUATION_WITH_THE_FIXED_BOUNDARES_ijariie1456.pdf (Accessed : 18 March 2018).
Harvard Galina Mehdiyeva, Vagif Ibrahimov, and Mehriban Imanova. (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. 491-502IJARIIE [Online]. Available at: http://ijariie.com/AdminUploadPdf/APPLICATION_OF_HYBRID_METHODS_TO_SOLVING_VOLTERRA_INTEGRAL_EQUATION_WITH_THE_FIXED_BOUNDARES_ijariie1456.pdf (Accessed : 18 March 2018)
IEEE 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, Nov-Dec 2015. [Online]. Available: http://ijariie.com/AdminUploadPdf/APPLICATION_OF_HYBRID_METHODS_TO_SOLVING_VOLTERRA_INTEGRAL_EQUATION_WITH_THE_FIXED_BOUNDARES_ijariie1456.pdf [Accessed : 18 March 2018].
Turabian 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 [Online]. volume 1 number 5 (18 March 2018).
Vancouver 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 [Internet]. 2015 [Cited : 18 March 2018]; 1(5) : 491-502. Available from: http://ijariie.com/AdminUploadPdf/APPLICATION_OF_HYBRID_METHODS_TO_SOLVING_VOLTERRA_INTEGRAL_EQUATION_WITH_THE_FIXED_BOUNDARES_ijariie1456.pdf
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