Published September 10, 2007 | Version v1
Journal article

Applying homotopy analysis method for solving differential-difference equation

  • 1. Department of Applied Mathematics, Dalian University of Technology, Dalian 116085 (China)
  • 2. School of Naval Architecture and Ocean Engineering, Dalian University of Technology, Dalian 116085 (China)

Description

In this Letter, we apply the homotopy analysis method to solving the differential-difference equations. A simple but typical example is applied to illustrate the validity and the great potential of the generalized homotopy analysis method in solving differential-difference equation. Comparisons are made between the results of the proposed method and exact solutions. The results show that the homotopy analysis method is an attractive method in solving the differential-difference equations

Availability note (English)

Available from http://dx.doi.org/10.1016/j.physleta.2007.04.070

Additional details

Identifiers

DOI
10.1016/j.physleta.2007.04.070;
PII
S0375-9601(07)00642-1;

Publishing Information

Journal Title
Physics Letters. A
Journal Volume
369
Journal Issue
1-2
Journal Page Range
p. 77-84
ISSN
0375-9601
CODEN
PYLAAG

INIS

Country of Publication
Netherlands
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
39083725
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
COMPARATIVE EVALUATIONS; DIFFERENTIAL EQUATIONS; EXACT SOLUTIONS; PADE APPROXIMATION; VOLTERRA INTEGRAL EQUATIONS
Descriptors DEC
APPROXIMATIONS; CALCULATION METHODS; EQUATIONS; EVALUATION; INTEGRAL EQUATIONS; MATHEMATICAL SOLUTIONS

Optional Information

Copyright
Copyright (c) 2007 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.