A collocation method to solve the parabolic-type partial integro-differential equations via Pell–Lucas polynomials
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DOI: 10.1016/j.amc.2022.126956
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- Polyanin, Andrei D., 2019. "Functional separable solutions of nonlinear reaction–diffusion equations with variable coefficients," Applied Mathematics and Computation, Elsevier, vol. 347(C), pages 282-292.
- Zhiyuan Li & Meichun Wang & Yulan Wang & Jing Pang, 2020. "Using Reproducing Kernel for Solving a Class of Fractional Order Integral Differential Equations," Advances in Mathematical Physics, Hindawi, vol. 2020, pages 1-12, March.
- Santanu Saha Ray & Rasajit K. Bera & Adem Kılıçman & Om P. Agrawal & Yasir Khan, 2015. "Analytical and Numerical Methods for Solving Partial Differential Equations and Integral Equations Arising in Physical Models 2014," Abstract and Applied Analysis, Hindawi, vol. 2015, pages 1-2, March.
- Hajishafieiha, J. & Abbasbandy, S., 2020. "A new class of polynomial functions for approximate solution of generalized Benjamin–Bona–Mahony–Burgers (gBBMB) equations," Applied Mathematics and Computation, Elsevier, vol. 367(C).
- Al-Smadi, Mohammed & Arqub, Omar Abu, 2019. "Computational algorithm for solving fredholm time-fractional partial integrodifferential equations of dirichlet functions type with error estimates," Applied Mathematics and Computation, Elsevier, vol. 342(C), pages 280-294.
- M. Sameeh & A. Elsaid, 2016. "Chebyshev Collocation Method for Parabolic Partial Integrodifferential Equations," Advances in Mathematical Physics, Hindawi, vol. 2016, pages 1-7, December.
- Lu, Ziqiang & Zhu, Yuanguo, 2019. "Numerical approach for solution to an uncertain fractional differential equation," Applied Mathematics and Computation, Elsevier, vol. 343(C), pages 137-148.
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Cited by:
- Deniz Elmaci & Nurcan Baykus & Savasaneril, 2022. "The Lucas Polynomial Solution Of Linear Volterra-Fredholm Integral Equations," Matrix Science Mathematic (MSMK), Zibeline International Publishing, vol. 6(1), pages 21-25, September.
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Keywords
Collocation method; Error analysis; Partial integro-differential equations; Pell–Lucas polynomials;All these keywords.
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