Approximate Analytical Solution of Liner Boundary Value Problems by Laplace-Differential Transform Method

Authors

  • Kiranta Kumari Department of Mathematics & Statistics, Banasthali University, Banasthali-304022, Rajasthan
  • Gauree Shanker 2Department of Mathematics & Statistics, Banasthali University, Jaipur
  • Praveen Kumar Gupta 3Department of Mathematics, National Institute of Technology, Silchar

DOI:

https://doi.org/10.26713/jims.v7i2.314

Keywords:

LDTM, Linear PDEs, Boundary conditions

Abstract

In this paper, we study the approximate analytical solutions of homogeneous and non-homogeneous linear PDEs with boundary conditions by using the Laplace Differential Transform method (LDTM). For this purpose, we consider three illustrations with one Dirichlet and two Neumann boundary conditions and obtain the corresponding approximate analytical solutions. This method is capable of greatly reducing the size of computational domain and a few numbers of iterations are required to reach the closed form solutions as series expansions of some known functions.

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References

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Published

2015-11-02
CITATION

How to Cite

Kumari, K., Shanker, G., & Gupta, P. K. (2015). Approximate Analytical Solution of Liner Boundary Value Problems by Laplace-Differential Transform Method. Journal of Informatics and Mathematical Sciences, 7(2), 99–108. https://doi.org/10.26713/jims.v7i2.314

Issue

Vol. 7 No. 2 (2015)

Section

Research Articles

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