Numerical Simulation of Nonlinear Schrödinger Equation in One and Two Dimensions
- Авторы: Geeta Arora 1, Joshi V.1, Mittal R.2
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Учреждения:
- Department of Mathematics, Lovely Professional University
- Department of Mathematics, Jaypee Institute of Information Technology
- Выпуск: Том 11, № 4 (2019)
- Страницы: 634-648
- Раздел: Article
- URL: https://journals.rcsi.science/2070-0482/article/view/203454
- DOI: https://doi.org/10.1134/S2070048219040070
- ID: 203454
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Аннотация
The present study aims to develop a hybrid scheme using trigonometric cubic B-spline basis functions with differential quadrature method for solving nonlinear Schrödinger equation in both one and two dimensions. This method reduces the nonlinear equation into a set of ordinary differential equations which can be further solved by the modified form of Ruge–Kutta method. This proposed method has been applied to this equation using two different approaches and also has been tested for proficiency on seven numerical examples. The obtained numerical results found to be synonymous when related with the exact solution. The obtained numerical results are also in good agreement with the results available in the literature. Comparison of numerical and the exact solution is depicted in the form of figures and tables.
Об авторах
Geeta Arora
Department of Mathematics, Lovely Professional University
Автор, ответственный за переписку.
Email: geetadma@gmail.com
Индия, Punjab, 144411
Varun Joshi
Department of Mathematics, Lovely Professional University
Автор, ответственный за переписку.
Email: varunjoshi20@yahoo.com
Индия, Punjab, 144411
R. Mittal
Department of Mathematics, Jaypee Institute of Information Technology
Автор, ответственный за переписку.
Email: rcmmmfma@iitr.ernet.in
Индия, Noida