Numerical Solution of Time-Dependent Schrödinger Equation in 2D Using Method of Particular Solutions with Polynomial Basis Functions

Numerical Solution of Time-Dependent Schrödinger Equation in 2D Using Method of Particular Solutions with Polynomial Basis Functions

The method of particular solutions using polynomial basis functions (MPS-PBF) has been extensively used to solve various types of partial differential equations. Traditional methods employing radial basis functions (RBFs)—such as Gaussian, multiquadric, and Matérn functions—often suffer from accurac...

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Bibliographic Details
Main Authors: Thir Raj Dangal, Balaram Khatri Ghimire, Anup Raja Lamichhane
Format: Article
Language:English
Published: MDPI AG 2025-05-01
Series:AppliedMath
Subjects:
Schrödinger equation
polynomial basis functions
collocation method
particular solutions
Online Access:https://www.mdpi.com/2673-9909/5/2/56
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