New accurate conservative finite difference schemes for 1-D and 2-D Schrödinger-Boussinesq Equations

Ayhan Aydın; Taha Mohammed

doi:10.17776/csj.1445761

EN

New accurate conservative finite difference schemes for 1-D and 2-D Schrödinger-Boussinesq Equations

Abstract

In this paper, first-order and second-order accurate structure-preserving finite difference schemes are proposed for solving the Schrödinger- Boussinesq equations. The conservation of the discrete energy and mass of the present schemes are analytically proved. Numerical experiments are given to support the theoretical results. Numerical examples show the efficiency of the proposed scheme and the correction of the theoretical proofs

Keywords

Schrödinger- Boussinesq equations, conservative numerical methods, partitioned average vector field method, soliton solution

References

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Details

Primary Language

English

Subjects

Numerical Solution of Differential and Integral Equations

Journal Section

Research Article

Authors

Ayhan Aydın ^*
0000-0002-0837-9364
Türkiye

Taha Mohammed This is me
0000-0002-5679-9195
Türkiye

Publication Date

December 30, 2024

Submission Date

March 2, 2024

Acceptance Date

December 12, 2024

Published in Issue

Year 2024 Volume: 45 Number: 4

DOI

https://doi.org/10.17776/csj.1445761

IZ

https://izlik.org/JA35ER76LY

APA

Aydın, A., & Mohammed, T. (2024). New accurate conservative finite difference schemes for 1-D and 2-D Schrödinger-Boussinesq Equations. Cumhuriyet Science Journal, 45(4), 777-788. https://doi.org/10.17776/csj.1445761

AMA

1.Aydın A, Mohammed T. New accurate conservative finite difference schemes for 1-D and 2-D Schrödinger-Boussinesq Equations. CSJ. 2024;45(4):777-788. doi:10.17776/csj.1445761

Chicago

Aydın, Ayhan, and Taha Mohammed. 2024. “New Accurate Conservative Finite Difference Schemes for 1-D and 2-D Schrödinger-Boussinesq Equations”. Cumhuriyet Science Journal 45 (4): 777-88. https://doi.org/10.17776/csj.1445761.

EndNote

Aydın A, Mohammed T (December 1, 2024) New accurate conservative finite difference schemes for 1-D and 2-D Schrödinger-Boussinesq Equations. Cumhuriyet Science Journal 45 4 777–788.

IEEE

[1]A. Aydın and T. Mohammed, “New accurate conservative finite difference schemes for 1-D and 2-D Schrödinger-Boussinesq Equations”, CSJ, vol. 45, no. 4, pp. 777–788, Dec. 2024, doi: 10.17776/csj.1445761.

ISNAD

Aydın, Ayhan - Mohammed, Taha. “New Accurate Conservative Finite Difference Schemes for 1-D and 2-D Schrödinger-Boussinesq Equations”. Cumhuriyet Science Journal 45/4 (December 1, 2024): 777-788. https://doi.org/10.17776/csj.1445761.

JAMA

1.Aydın A, Mohammed T. New accurate conservative finite difference schemes for 1-D and 2-D Schrödinger-Boussinesq Equations. CSJ. 2024;45:777–788.

MLA

Aydın, Ayhan, and Taha Mohammed. “New Accurate Conservative Finite Difference Schemes for 1-D and 2-D Schrödinger-Boussinesq Equations”. Cumhuriyet Science Journal, vol. 45, no. 4, Dec. 2024, pp. 777-88, doi:10.17776/csj.1445761.

Vancouver

1.Ayhan Aydın, Taha Mohammed. New accurate conservative finite difference schemes for 1-D and 2-D Schrödinger-Boussinesq Equations. CSJ. 2024 Dec. 1;45(4):777-88. doi:10.17776/csj.1445761

As of 2026, Cumhuriyet Science Journal will be published in six issues per year, released in February, April, June, August, October, and December

Abstract

New accurate conservative finite difference schemes for 1-D and 2-D Schrödinger-Boussinesq Equations

Abstract

Keywords

References

Details

Primary Language

Subjects

Journal Section

Authors

Publication Date

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Acceptance Date

Published in Issue

DOI

IZ

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