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Two Accurate Semi-analytical Techniques for Solving (2+1)-D and (3+1)-D Schrodinger Equations

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Publicado en:IAENG International Journal of Applied Mathematics vol. 55, no. 2 (Feb 2025), p. 348
Autor principal: Kumari, Umesh
Publicado:
International Association of Engineers
Materias:
Iterative methods
Perturbation methods
Schrodinger equation
Analytical techniques
Approximation
Accuracy
Applied mathematics
Methods
Partial differential equations
Lagrange multiplier
Physical sciences
Acceso en línea:Citation/Abstract
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Resumen: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.
ISSN:1992-9978
1992-9986
Fuente:Computer Science Database