Approximate solutions of integro-differential equations using different polynomials
*Dilmi MustaphaCorresponding authormoustafa.dilmi@univ-msila.dzDepartment of MathematicsCollege of Mathematics and Computer ScienceBordj Bou Arreridj RoadUniversity of M’silaM’Sila, 28000, Algeria00-0002-0092-2967View full profile →
* Corresponding author · click or hover a name for details
- Received:
- 05 Feb 2025
- Published Online:
- 13 Feb 2026
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIM-2381
- Pages:
- 927–935
Abstract
Keywords
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References
[1] J.T. Abdullah, “Numerical Solution for Linear Fredholm Integro-Differential Equation Using Touchard Polynomials,” Baghdad Science Journal., vol. 18, no. 2, issue. 2 pp. 330-337 (2021).
[2] J.T. Abdullah, H.S. Ali, “Laguerre and Touchard Polynomials for Linear Volterra Integral and Integro Differential Equations,” Journal of Physics., Conference Series, 1591 012047, pp. 1-17 (2020).
[3] A. Akyuz and M. Sezer, “A Chebyshev Collocation Method for the Solution of Linear Integro-Differential Equations,” Int. J. Comput Math., vol. 27, no. 4, (1999).
[4] S. Aggarwal, N. Sharma, and, R. Chauhan, “Solution of Linear Volterra Integro-Differential equations of Second Kind Using Mahgoub Transform,” International Journal of Latest Technology in Engineering, Management & Applied Science., vol. VII, Issue. V, pp. 173-176 (2018).
[5] J. Biazar and M. Pourabd, “A Maple Program for Solving Systems of Linear and Nonlinear Integral Equations by Adomian Decomposition method,” Int. J. Contemp Math. Science., vol. 2, no. 29, pp. 1425-1432 (2007).
[6] M. Djalil, H. Souidan, and W. Souidan, “Approximate Solution of Linear Volterra Integro-Differential Equation by Touchard Polynomials Method,” WJSM., vol. 11, no. 2, pp. 29-41 (2018).
[7] M. Dilmi, “Gegenbauer Series for Numerical Solution of Fredholm Integral Equations of the Second Kind,” Communications in Mathematics and Applications., vol. 14, no. 1, pp. 167-173 (2023).
[8] M. Dilmi, “Touchard Series for Solving Volterra Integral Equations Form of the Lane-Emdan Equations,”Technical journal., vol. 17, no. 4, pp. 493-496 (2023).
[9] M. Dilmi, “Comparison between Touchard and Bernstein polynomials solutions of integral equations,” Turkish Journal of Computer and Mathematics Education., vol. 13, no. 3, pp. 736-745 (2022).
[10] Y. Jiang and J. Ma, “Spectral collocation methods for Volterra integro-differential equations with noncompact kernels,” J Comput Appl Math., 244, pp. 115–124 (2013).
[11] M. Khalid Shahoodh, “Using Touchard Polynomials Method for Solving Volterra-Fredholm Integro-Differential Equations,” Tikrit Journal of Pure Science., vol. 26, no. 5, pp. 92-96 (2021).
[12] M. Nadir and D. Mustapha, “Euler Series solutions for linear Integral equations,” AJMAA., vol. 14, no. 2, art. 11, pp. 1-7 (2017).
[13] F. Shayanfard, H. Laeli Dastjerdi, and F.M. Maalek Ghaini, “Collocation method for approximate solution of Volterra integro-differential equations of the third-kind,” Applied Numerical Mathematics., vol. 150, pp. 139-148 (2020).
