A reliable algorithm for solving linear and nonlinear schrÖdinger equations

Shaher Momani; Omar Abu Arqub; Banan Maayah; Feras Yousef; Ahmed Alsaedi

A reliable algorithm for solving linear and nonlinear schrÖdinger equations

Shaher Momani
, Omar Abu Arqub
, Banan Maayah
, Feras Yousef
, Ahmed Alsaedi

University of Jordan
Faculty of Sciences, King Abdulaziz University
Al-Balqa Applied University

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

This paper is devoted to study the analytical series solutions for the Schrödinger partial differential equations. By a general residual power series method, we construct the approximate analytical series solutions for linear and nonlinear Schrödinger equations. The proposed technique is fully compatible with the complexity of this problem and obtained results are highly encouraging. These applications show that residual power series method is a sim-ple, effective and powerful method for seeking analytical series solutions of partial differential equations.

Original language	English
Pages (from-to)	151-160
Number of pages	10
Journal	Applied and Computational Mathematics
Volume	17
Issue number	2
State	Published - 2018
Externally published	Yes

Keywords

Multiple power series
PDEs
Residual power series method
Schrödinger equation

Cite this

@article{38996646fb9440d2a45224543f68d378,

title = "A reliable algorithm for solving linear and nonlinear schr{\"O}dinger equations",

abstract = "This paper is devoted to study the analytical series solutions for the Schr{\"o}dinger partial differential equations. By a general residual power series method, we construct the approximate analytical series solutions for linear and nonlinear Schr{\"o}dinger equations. The proposed technique is fully compatible with the complexity of this problem and obtained results are highly encouraging. These applications show that residual power series method is a sim-ple, effective and powerful method for seeking analytical series solutions of partial differential equations.",

keywords = "Multiple power series, PDEs, Residual power series method, Schr{\"o}dinger equation",

author = "Shaher Momani and Arqub, \{Omar Abu\} and Banan Maayah and Feras Yousef and Ahmed Alsaedi",

year = "2018",

language = "English",

volume = "17",

pages = "151--160",

journal = "Applied and Computational Mathematics",

issn = "1683-3511",

publisher = "Institute of Applied Mathematics of Baku State University",

number = "2",

}

TY - JOUR

T1 - A reliable algorithm for solving linear and nonlinear schrÖdinger equations

AU - Momani, Shaher

AU - Arqub, Omar Abu

AU - Maayah, Banan

AU - Yousef, Feras

AU - Alsaedi, Ahmed

PY - 2018

Y1 - 2018

N2 - This paper is devoted to study the analytical series solutions for the Schrödinger partial differential equations. By a general residual power series method, we construct the approximate analytical series solutions for linear and nonlinear Schrödinger equations. The proposed technique is fully compatible with the complexity of this problem and obtained results are highly encouraging. These applications show that residual power series method is a sim-ple, effective and powerful method for seeking analytical series solutions of partial differential equations.

AB - This paper is devoted to study the analytical series solutions for the Schrödinger partial differential equations. By a general residual power series method, we construct the approximate analytical series solutions for linear and nonlinear Schrödinger equations. The proposed technique is fully compatible with the complexity of this problem and obtained results are highly encouraging. These applications show that residual power series method is a sim-ple, effective and powerful method for seeking analytical series solutions of partial differential equations.

KW - Multiple power series

KW - PDEs

KW - Residual power series method

KW - Schrödinger equation

UR - https://www.scopus.com/pages/publications/85077240104

M3 - Article

AN - SCOPUS:85077240104

SN - 1683-3511

VL - 17

SP - 151

EP - 160

JO - Applied and Computational Mathematics

JF - Applied and Computational Mathematics

IS - 2

ER -

A reliable algorithm for solving linear and nonlinear schrÖdinger equations

Abstract

Keywords

Other files and links

Fingerprint

Cite this