| Autor: |
Mamta Kapoor, Varun Joshi |
| Jazyk: |
angličtina |
| Rok vydání: |
2021 |
| Předmět: |
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| Zdroj: |
Partial Differential Equations in Applied Mathematics, Vol 4, Iss , Pp 100076- (2021) |
| Druh dokumentu: |
article |
| ISSN: |
2666-8181 |
| DOI: |
10.1016/j.padiff.2021.100076 |
| Popis: |
In present study, Modified Cubic Hyperbolic B-spline Differential Quadrature Method is constructed for getting the numerical approximations of 1D and 2D non-linear Schrödinger equations. Modified cubic Hyperbolic B-spline is implemented as basis function to compute the required weighting coefficients regarding DQM. Thereafter, by spatial discretization, obtained system of ordinary differential equations is obtained which is tackled using Strong Stability Preserving-Runge–Kutta 43 scheme. Accuracy of the proposed scheme is tested by comparing the exact and numerical approximations. L2and L∞errors are computed for different parameters. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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