REDUCED DIFFERENTIAL TRANSFORMS APPROACH FOR HIGHLY NONLINEAR SYSTEM OF TWO DIMENSIONAL VOLTERRA INTEGRAL EQUATIONS

A Sarman; N. Magesh; A. John Chrıstopher

EN

REDUCED DIFFERENTIAL TRANSFORMS APPROACH FOR HIGHLY NONLINEAR SYSTEM OF TWO DIMENSIONAL VOLTERRA INTEGRAL EQUATIONS

Abstract

Analytical solution of highly nonlinear system of two dimensional Volterraintegral equations is studied by the reduced differential transform method [RDTM]. Wepresent a new property of RDTM to acquire the recursive relation which is used to getanalytical solution of the above mentioned two dimensional system. Results of the numerical examples obtained by RDTM are compared with the existing results obtainedby TDDTM. Though solutions obtained by RDTM and TDDTM are same, RDTM hassignificant advantage over TDDTM that is RDTM generates the solution of the nonlinearproblem by operating the multivariable function with respect to a desired variable onlynot on all of their independent variables unlike in TDDTM so that RDTM reduces thetime consumption than TDDTM

Keywords

Reduced differential transform method,Volterra integral equations

References

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Primary Language

English

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Journal Section

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Authors

A Sarman This is me

N. Magesh This is me

A. John Chrıstopher This is me

Publication Date

January 1, 2018

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Year 2018 Volume: 1 Number: 1

IZ

https://izlik.org/JA54NF77SS

APA

Sarman, A., Magesh, N., & Chrıstopher, A. J. (2018). REDUCED DIFFERENTIAL TRANSFORMS APPROACH FOR HIGHLY NONLINEAR SYSTEM OF TWO DIMENSIONAL VOLTERRA INTEGRAL EQUATIONS. Journal of Advanced Mathematics and Mathematics Education, 1(1), 1-10. https://izlik.org/JA54NF77SS

AMA

1.Sarman A, Magesh N, Chrıstopher AJ. REDUCED DIFFERENTIAL TRANSFORMS APPROACH FOR HIGHLY NONLINEAR SYSTEM OF TWO DIMENSIONAL VOLTERRA INTEGRAL EQUATIONS. JAMAME. 2018;1(1):1-10. https://izlik.org/JA54NF77SS

Chicago

Sarman, A, N. Magesh, and A. John Chrıstopher. 2018. “REDUCED DIFFERENTIAL TRANSFORMS APPROACH FOR HIGHLY NONLINEAR SYSTEM OF TWO DIMENSIONAL VOLTERRA INTEGRAL EQUATIONS”. Journal of Advanced Mathematics and Mathematics Education 1 (1): 1-10. https://izlik.org/JA54NF77SS.

EndNote

Sarman A, Magesh N, Chrıstopher AJ (January 1, 2018) REDUCED DIFFERENTIAL TRANSFORMS APPROACH FOR HIGHLY NONLINEAR SYSTEM OF TWO DIMENSIONAL VOLTERRA INTEGRAL EQUATIONS. Journal of Advanced Mathematics and Mathematics Education 1 1 1–10.

IEEE

[1]A. Sarman, N. Magesh, and A. J. Chrıstopher, “REDUCED DIFFERENTIAL TRANSFORMS APPROACH FOR HIGHLY NONLINEAR SYSTEM OF TWO DIMENSIONAL VOLTERRA INTEGRAL EQUATIONS”, JAMAME, vol. 1, no. 1, pp. 1–10, Jan. 2018, [Online]. Available: https://izlik.org/JA54NF77SS

ISNAD

Sarman, A - Magesh, N. - Chrıstopher, A. John. “REDUCED DIFFERENTIAL TRANSFORMS APPROACH FOR HIGHLY NONLINEAR SYSTEM OF TWO DIMENSIONAL VOLTERRA INTEGRAL EQUATIONS”. Journal of Advanced Mathematics and Mathematics Education 1/1 (January 1, 2018): 1-10. https://izlik.org/JA54NF77SS.

JAMA

1.Sarman A, Magesh N, Chrıstopher AJ. REDUCED DIFFERENTIAL TRANSFORMS APPROACH FOR HIGHLY NONLINEAR SYSTEM OF TWO DIMENSIONAL VOLTERRA INTEGRAL EQUATIONS. JAMAME. 2018;1:1–10.

MLA

Sarman, A, et al. “REDUCED DIFFERENTIAL TRANSFORMS APPROACH FOR HIGHLY NONLINEAR SYSTEM OF TWO DIMENSIONAL VOLTERRA INTEGRAL EQUATIONS”. Journal of Advanced Mathematics and Mathematics Education, vol. 1, no. 1, Jan. 2018, pp. 1-10, https://izlik.org/JA54NF77SS.

Vancouver

1.A Sarman, N. Magesh, A. John Chrıstopher. REDUCED DIFFERENTIAL TRANSFORMS APPROACH FOR HIGHLY NONLINEAR SYSTEM OF TWO DIMENSIONAL VOLTERRA INTEGRAL EQUATIONS. JAMAME [Internet]. 2018 Jan. 1;1(1):1-10. Available from: https://izlik.org/JA54NF77SS

Baş editör; Prof .Dr. Seyfullah Hızarcı

Abstract

REDUCED DIFFERENTIAL TRANSFORMS APPROACH FOR HIGHLY NONLINEAR SYSTEM OF TWO DIMENSIONAL VOLTERRA INTEGRAL EQUATIONS

Abstract

Keywords

References

Details

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Submission Date

Acceptance Date

Published in Issue

IZ

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