Two Accurate Semi-analytical Techniques for Solving (2+1)-D and (3+1)-D Schrodinger Equations
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| Veröffentlicht in: | IAENG International Journal of Applied Mathematics vol. 55, no. 2 (Feb 2025), p. 348 |
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International Association of Engineers
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| 035 | |a 3186376620 | ||
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| 100 | 1 | |a Kumari, Umesh |u Department of Physical Sciences (Mathematics) | |
| 245 | 1 | |a Two Accurate Semi-analytical Techniques for Solving (2+1)-D and (3+1)-D Schrodinger Equations | |
| 260 | |b International Association of Engineers |c Feb 2025 | ||
| 513 | |a Journal Article | ||
| 520 | 3 | |a In this paper, the solutions of the (2+1)-D and (3+1)-D Schrodinger equations are investigated mathematically using two efficient semi-analytical techniques. One proposed technique is based on the combination of the formable transform and the homotopy perturbation method (FTHPM), whereas another technique is the classical variational iteration method (VIM). A comparison study between the formable transform-based homotopy perturbation method (FTHPM) and the variational iteration method (VIM) for solving these equations is discussed. Some theorems are presented to illustrate the convergence of both semi-analytical techniques. To verify the accuracy and efficiency of the proposed schemes, two test examples are discussed. | |
| 653 | |a Iterative methods | ||
| 653 | |a Perturbation methods | ||
| 653 | |a Schrodinger equation | ||
| 653 | |a Analytical techniques | ||
| 653 | |a Approximation | ||
| 653 | |a Accuracy | ||
| 653 | |a Applied mathematics | ||
| 653 | |a Methods | ||
| 653 | |a Partial differential equations | ||
| 653 | |a Lagrange multiplier | ||
| 653 | |a Physical sciences | ||
| 773 | 0 | |t IAENG International Journal of Applied Mathematics |g vol. 55, no. 2 (Feb 2025), p. 348 | |
| 786 | 0 | |d ProQuest |t Computer Science Database | |
| 856 | 4 | 1 | |3 Citation/Abstract |u https://www.proquest.com/docview/3186376620/abstract/embedded/7BTGNMKEMPT1V9Z2?source=fedsrch |
| 856 | 4 | 0 | |3 Full Text - PDF |u https://www.proquest.com/docview/3186376620/fulltextPDF/embedded/7BTGNMKEMPT1V9Z2?source=fedsrch |