Skip to main content
SpringerLink
Log in

A NOTE ON USING ADOMIAN DECOMPOSITION METHOD FOR SOLVING BOUNDARY VALUE PROBLEMS

  • Published:
Foundations of Physics Letters

Abstract

In this paper we outline a reliable strategy to use Adomian decomposition method properly for solving nonlinear partial differential equations with boundary conditions. Our fundamental goal in this paper has two features: (i) it introduces an efficient way for using Adomian decomposition method for boundary value problems, and (ii) it also would present the framework in a general way so that it may be used in BVPs of the same type. A numerical example is included to dwell upon the importance of the analysis presented.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

REFERENCES

  1. G. Adomian, Solving Frontier Problems of Physics: The Decomposition Method (Kluwer Academic, Dordrecht, 1994).

    Book  MATH  Google Scholar 

  2. G. Adomian, “A review of the decomposition method in applied mathematics,” J. Math. Anal. App. 135, 501-544 (1988).

    Article  MathSciNet  MATH  Google Scholar 

  3. J. H. He, “A new approach to nonlinear partial differential equations,” Communications in Nonlinear Sciences and Numerical Simulations 2(4), 230-240 (1997).

    Article  ADS  Google Scholar 

  4. G. L. Liu, “Weighted residual decomposition method in nonlinear applied mathematics,” Proceedings, 6th Congress of Modern Mathematics and Mechanics (MM M-VI) (Suzhou, China), pp, 643-648 (1995).

  5. A. M. Wazwaz, “On the solution of the fourth-order parabolic equation by the decomposition method,” Intern. J. Comp. Math. 57, 213-217 (1995).

    Article  MATH  Google Scholar 

  6. A. M. Wazwaz, A First Course in Integral Equations (World Scientific, Singapore, 1997).

    Book  MATH  Google Scholar 

  7. A. M. Wazwaz, “Analytical approximations and Padé approximants for Volterra's population model,” Appl. Math. Comput. 100, 13-25 (1999).

    MathSciNet  MATH  Google Scholar 

  8. A. M. Wazwaz, “The modified decomposition method and Padé approximants for solving the Thomas-Fermi equation,” Appl. Math. Comput. 105, 11-19 (1999).

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics and Computer Science, Saint Xavier University, Chicago, Illinois, 60655, USA

    Abdul-Majid Wazwaz

Authors
  1. Abdul-Majid Wazwaz
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wazwaz, AM. A NOTE ON USING ADOMIAN DECOMPOSITION METHOD FOR SOLVING BOUNDARY VALUE PROBLEMS. Found Phys Lett 13, 493–498 (2000). https://doi.org/10.1023/A:1007888917365

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1007888917365

Search

Navigation