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International Journal of Computer Mathematics Volume 93, 2016 - Issue 11
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Original Articles

Coupling finite volume and nonstandard finite difference schemes for a singularly perturbed Schrödinger equation

A.A. AderogbaDepartment of Mathematics & Applied Mathematics, University of Pretoria, Pretoria, South AfricaView further author information
,
M. ChapwanyaDepartment of Mathematics & Applied Mathematics, University of Pretoria, Pretoria, South AfricaCorrespondence[email protected]
View further author information
,
J. Djoko KamdemDepartment of Mathematics & Applied Mathematics, University of Pretoria, Pretoria, South AfricaView further author information
&
J.M.-S. LubumaDepartment of Mathematics & Applied Mathematics, University of Pretoria, Pretoria, South AfricaView further author information
Pages 1833-1844 | Received 21 Apr 2015, Accepted 17 Jul 2015, Published online: 19 Aug 2015

Citations (8)

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M. Chapwanya, O. A. Jejeniwa, A. R. Appadu & J. M.-S. Lubuma. (2019) An explicit nonstandard finite difference scheme for the FitzHugh–Nagumo equations. International Journal of Computer Mathematics 96:10, pages 1993-2009.
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Articles from other publishers (7)

Xiaoqiang Yue, Kejia Pan, Jie Zhou, Zhifeng Weng, Shi Shu & Juan Tang. (2021) A multigrid-reduction-in-time solver with a new two-level convergence for unsteady fractional Laplacian problems. Computers & Mathematics with Applications 89, pages 57-67.
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Xiaoqiang Yue, Menghuan Liu, Shi Shu, Weiping Bu & Yehong Xu. (2019) Space‐time finite element adaptive AMG for multi‐term time fractional advection diffusion equations. Mathematical Methods in the Applied Sciences 44:4, pages 2769-2789.
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Xuefei He & Kun Wang. (2020) Efficient approximation algorithm for the Schrödinger–Possion system. Numerical Methods for Partial Differential Equations 37:1, pages 422-443.
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A.A. Aderogba, O.O. Fabelurin, S.O. Akindeinde, A.O. Adewumi & B.S. Ogundare. (2020) Nonstandard finite difference approximation for a generalized Fins problem. Mathematics and Computers in Simulation 178, pages 183-191.
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Michael Chapwanya, Robert Dozva & Gift Muchatibaya. (2019) A nonstandard finite difference technique for singular Lane-Emden type equations. Engineering Computations 36:5, pages 1566-1578.
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A. A. Aderogba & M. Chapwanya. (2018) Positive and bounded nonstandard finite difference scheme for the Hodgkin–Huxley equations. Japan Journal of Industrial and Applied Mathematics 35:2, pages 773-785.
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Canan Koroglu & Ayhan Aydin. (2017) An Unconventional Finite Difference Scheme for Modified Korteweg-de Vries Equation. Advances in Mathematical Physics 2017, pages 1-9.
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