Research Article

DIFFERENTIAL TRANSFORM METHOD FOR SOLVING A CLASS OF SINGULAR TWO-POINT BOUNDARY VALUE PROBLEMS

Volume: 1 Number: 1 June 1, 2006
EN TR

DIFFERENTIAL TRANSFORM METHOD FOR SOLVING A CLASS OF SINGULAR TWO-POINT BOUNDARY VALUE PROBLEMS

Abstract

This paper applies the differential transform method to search for semi numerical-analytical solutions of a class of singular two-point boundary value problems. To make clear and illustrate the features and capabilities of the presented method, four examples are carried out. The results demonstrate the computational efficiency and reliability of the method. 

Keywords

References

  1. AGARWAL RP, 1986. Boundary Value Problems for High Order Differential Equations, World Scientific, Singapore.
  2. ASCHER U, MATTHEIJ RMM, RUSSELL RD, 1998. Numerical Solution of Boundary Value Problems for Ordinary Differential Equations, Prentice-Hall, Englewood Cliffs, NJ.
  3. CHAWLA MM, KATTI CP, 1984. A finite difference method for a class of singular two point boundary value problems, IMA Journal of Numerical Analysis, 4 , 457-466.
  4. ÇAĞLAR N, ÇAĞLAR H, 2006. B-spline solution of singular boundary value problems, Applied Mathematics & Computation, in press.
  5. ERIKSON K, THOMEE V, 1984. Galerkin methods for singular boundary value problems in one space dimension, Mathematics of Computation, 42 , 345-367.
  6. GUSTAFSSON B, 1973. A numerical method for solving singular boundary value problems, Numerische Mathematik, 21, 328-344.
  7. IYENGAR SRK, JAIN PC, 1987. Spline finite difference methods for singular two point boundary value problems, Numerische Mathematik, 50, 363-376.
  8. JAMET P, 1970. On the convergence of finite difference approximations to one dimensional singular boundary value problems, Numerische Mathematik, 14, 355-378.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

June 1, 2006

Submission Date

February 23, 2009

Acceptance Date

-

Published in Issue

Year 2006 Volume: 1 Number: 1

APA
Ertürk, V. (2006). DIFFERENTIAL TRANSFORM METHOD FOR SOLVING A CLASS OF SINGULAR TWO-POINT BOUNDARY VALUE PROBLEMS. Süleyman Demirel University Faculty of Arts and Science Journal of Science, 1(1), 70-76. https://izlik.org/JA57MG23HY
AMA
1.Ertürk V. DIFFERENTIAL TRANSFORM METHOD FOR SOLVING A CLASS OF SINGULAR TWO-POINT BOUNDARY VALUE PROBLEMS. Süleyman Demirel University Faculty of Arts and Science Journal of Science. 2006;1(1):70-76. https://izlik.org/JA57MG23HY
Chicago
Ertürk, Vedat. 2006. “DIFFERENTIAL TRANSFORM METHOD FOR SOLVING A CLASS OF SINGULAR TWO-POINT BOUNDARY VALUE PROBLEMS”. Süleyman Demirel University Faculty of Arts and Science Journal of Science 1 (1): 70-76. https://izlik.org/JA57MG23HY.
EndNote
Ertürk V (June 1, 2006) DIFFERENTIAL TRANSFORM METHOD FOR SOLVING A CLASS OF SINGULAR TWO-POINT BOUNDARY VALUE PROBLEMS. Süleyman Demirel University Faculty of Arts and Science Journal of Science 1 1 70–76.
IEEE
[1]V. Ertürk, “DIFFERENTIAL TRANSFORM METHOD FOR SOLVING A CLASS OF SINGULAR TWO-POINT BOUNDARY VALUE PROBLEMS”, Süleyman Demirel University Faculty of Arts and Science Journal of Science, vol. 1, no. 1, pp. 70–76, June 2006, [Online]. Available: https://izlik.org/JA57MG23HY
ISNAD
Ertürk, Vedat. “DIFFERENTIAL TRANSFORM METHOD FOR SOLVING A CLASS OF SINGULAR TWO-POINT BOUNDARY VALUE PROBLEMS”. Süleyman Demirel University Faculty of Arts and Science Journal of Science 1/1 (June 1, 2006): 70-76. https://izlik.org/JA57MG23HY.
JAMA
1.Ertürk V. DIFFERENTIAL TRANSFORM METHOD FOR SOLVING A CLASS OF SINGULAR TWO-POINT BOUNDARY VALUE PROBLEMS. Süleyman Demirel University Faculty of Arts and Science Journal of Science. 2006;1:70–76.
MLA
Ertürk, Vedat. “DIFFERENTIAL TRANSFORM METHOD FOR SOLVING A CLASS OF SINGULAR TWO-POINT BOUNDARY VALUE PROBLEMS”. Süleyman Demirel University Faculty of Arts and Science Journal of Science, vol. 1, no. 1, June 2006, pp. 70-76, https://izlik.org/JA57MG23HY.
Vancouver
1.Vedat Ertürk. DIFFERENTIAL TRANSFORM METHOD FOR SOLVING A CLASS OF SINGULAR TWO-POINT BOUNDARY VALUE PROBLEMS. Süleyman Demirel University Faculty of Arts and Science Journal of Science [Internet]. 2006 Jun. 1;1(1):70-6. Available from: https://izlik.org/JA57MG23HY