Application of Triple Shehu Transformation for Solving Volterra Integro-Partial Differential Equation

Sameehah Alkaleeli (1)
(1) Department of Mathematics, Faculty of Arts and Sciences, Benghazi University, Al-Marj, Libya

Abstract

This paper depends on some concepts related to the triple Shehu transform and how its various properties can be used to solve three-dimensional linear Volterra Integro-Partial Differential Equations in terms of obtaining the exact solutions. Some examples will be studied to support the effectiveness of this transform. 

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References

[1]- Shhed,M.(2005). Application of He’s Homotopy Perturbation Method to Volterra’s − integro-differential Equation, International Journal of Nonlinear Sciences and Numerical Simulation, 6 (2), 163- 165.

[2]- Moghadam, M.,& H. Saeedi. (2010). Application of differential transforms for solving the Volterra- integropartial differential equations, Iranian Journal of Science and Technology, 34(1), 59-70.

[3]- Fahim, A., Araghi, M. A. F., Rashidinia, J., & Jalalvand, M. (2017). Numerical solution of Volterra partial integro-differential equations based on sinc-collocation method. Advances in Difference Equations, 2017(1), 1-21.

[4]- Wazwaz, A. M. (2010). The combined Laplace transform–Adomian decomposition method for handling nonlinear Volterra integro–differential equations. Applied Mathematics and Computation, 216(4), 1304-1309.

[5]- Chindhe, Anil & KIWNE, S.B. (2016). Application of Combine Natural Transform and Adomian Decomposition Method in Volterra Integro-Differential Equations. Mathematical Journal of Interdisciplinary Sciences. 5. 1-14. 10.15415/mjis.2016.51001.

[6]- Nubpetchploy, S., Chaisuwan, P. T., & Poltem, D. (2021). Shehu Adomian Decomposition Method for Solving Fractional Integro-Differential Equation. Burapha Science Journal, 26(1), 232-248.

[7]- Bhadane, P. R. (2021). Applications of Triple Laplace Transformation to Volterra Integro Partial Differential Equation. Turkish Journal of Computer and Mathematics Education (TURCOMAT), 12(13), 3089-3093.

[8]- Mousa, A., & Elzaki, M. (2019,a). Solution Of Volterra Integro-Differential Equations By Triple Laplace Transform. (July 11, 2019). Irish Interdisciplinary Journal of Science & Research (IIJSR)(Quarterly International Journal) Volume, 3, 67-72.

[9]- Mousa, A., & Elzaki, T. M. (2019,b). Solution of the Volterra integro-differential equations by the triple Elzaki transform. Bulletin of Pure & Applied Sciences-Mathematics and Statistics, 38(2), 563-569.

[10]- AYDIN, M., & PEKER, H. A. TRIPLE SUMUDU TRANSFORM AND ITS APPLICATION FOR SOLVING VOLTERRA INTEGRO-PARTIAL DIFFERENTIAL EQUATION. Engineering (ICMASE 2020) 09-10 July 2020, Ankara, 98.

[11]- Alkaleeli, S. R., Mtawal, A. A., & Hmad, M. S. (2021). Triple Shehu transform and its properties with applications. African Journal of Mathematics and Computer Science Research, 14(1), 4-12.

[12]- Maitama, S., & Zhao, W. (2019). New integral transform: Shehu transform a generalization of Sumudu and Laplace transform for solving differential equations. arXiv preprint arXiv:1904.11370.

[13]- Manafian, J., & Bolghar, P. (2018). Numerical solutions of nonlinear 3‐dimensional Volterra integral‐differential equations with 3D‐block‐pulse functions. Mathematical Methods in the Applied Sciences, 41(12), 4867-4876.

[14]- Mirzaee, F., & Hadadiyan, E. (2016). Three-dimensional triangular functions and their applications for solving nonlinear mixed Volterra–Fredholm integral equations. Alexandria Engineering Journal, 55(3), 2943-2952.

[15]- Mtawal, A.A., & Alkaleeli, S.R. (2020). A new modified homotopy perturbation method for fractional partial differential equations with proportional delay. Journal of Advances in Mathematics, 19, 58-73.

[16]- Alfaqeih, S., & Misirli, E. (2020). On Double Shehu Transform and Its Properties with Applications. International Journal of Analysis and Applications, 18(3), 381-395.

[17]- Aboodh, K.S. (2013) . The new integral transform "Aboodh transform" Global Journal of Pure and Applied Mathematics, 9(1) 35-43

[18]- Aggarwal, S., Gupta, A. R., & Sharma, S. D. (2019). A new application of Shehu transform for handling Volterra integral equations of first kind. International Journal of Research in Advent Technology, 7(4), 439-445.

[19]- Alfaqeih, T. Ö. S. (2019). Note on Triple Aboodh Transform and Its Application, International Journal of Engineering and Information Systems (IJEAIS), Vol. 3 Issue 3, March – 2019, Pages: 41-50 .

[20]- Atangana, A. (2013 ). A note on the triple Laplace transform and its applications to some kind of third-order differential equation. In Abstract and Applied Analysis (Vol. 2013). Hindawi.

[21]- Dhunde, R. R., Bhondge, N. M., & Dhongle, P. R. (2013). Some remarks on the properties of double Laplace transforms. International Journal of Applied Physics and Mathematics, 3(4), 293-295.

[22]- Eltayeb, H., & Kilicman, A. (2010). On double Sumudu transform and double Laplace transform. Malaysian journal of mathematical sciences, 4(1), 17-30.

[23]- Elzaki T.M., The new integral transform "Elzaki transform", Global Journal of Pure and Applied Mathematics, 7(1) (2011) 57-64.

[24]- Thakur,A.K., Srikumar, P.(2015). SOME PROPERTIES OF TRIPLE LAPLACE TRANSFORMS, Journal of Mathematics and Computer Applications Research (JMCAR). Vol. 2, Issue 1, Jun 2015, 23-28.

Authors

Sameehah Alkaleeli
[email protected] (Primary Contact)
Alkaleeli, S. (2021). Application of Triple Shehu Transformation for Solving Volterra Integro-Partial Differential Equation. Journal of Pure & Applied Sciences , 20(4), 132-136. https://doi.org/10.51984/jopas.v20i4.1721

Article Details

How to Cite

Alkaleeli, S. (2021). Application of Triple Shehu Transformation for Solving Volterra Integro-Partial Differential Equation. Journal of Pure & Applied Sciences , 20(4), 132-136. https://doi.org/10.51984/jopas.v20i4.1721

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