Indonesian Journal of Mathematics and Applications
Vol. 2 No. 2 (2024): Indonesian Journal of Mathematics and Applications

Approximate and Exact Solution of Linear and Nonlinear Schrödinger Equation using Sawi Transform coupled with Homotopy Perturbation Method

Olubanwo, Oludapo O. (Unknown)
Adepoju, Julius (Unknown)
Ajani, Abiodun Sufiat (Unknown)
Idowu, Senayon Sunday (Unknown)
Ifeyemi, Opeyemi (Unknown)

Article Info

Publish Date
25 Sep 2024

Abstract

This study presents an approximate solution using the Sawi Transform Method for the Schrödinger equation. Four problems were considered to illustrate the Sawi Transform Homotopy perturbation Method’s (STHPM) effectiveness and capabilities. The equation below is subjected to the Sawi Transform combined with Homotopy Perturbation Method (STHPM). $i\frac{\partial}{\partial t}\\psi(z,t)+\Delta[\psi(z,t)]+N\psi(z,t)=0$ The results obtained are represented in a series of rapidly convergent terms.

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Journal Info
Indonesian Journal of Mathematics and Applications
Website

Abbrev

ijma

Publisher

Universitas Brawijaya

Subject

Computer Science & IT Education Mathematics Other

Description

The Indonesian Journal of Mathematics and Applications is a journal managed by Universitas Brawijaya, Malang, Indonesia, that is published twice a year (in March and September). IJMA is devoted to research articles of the highest quality in all areas of mathematics and its applications, statistics, ...