Differential Transformation Method(DTM) for Approximate Solution of Ordinary Differential Equation(ODE)

Differential Transformation Method(DTM) for Approximate Solution of Ordinary Differential Equation(ODE)

Minakshi MohantySaumya R. Jena

Department of Mathematics, School of Applied Sciences, KIIT, DT University, Bhubaneswar 751024, Odisha, India

Department of Mathematics, School of Applied Sciences, KIIT, DT University, Bhubaneswar 751024, Odisha, India

Corresponding Author Email: 
saumyafma@kiit.ac.in
Page: 
135-138
|
DOI: 
https://doi.org/10.18280/ama_b.610305
Received: 
2 July 2018
|
Accepted: 
16 August 2018
|
Published: 
30 September 2018
| Citation

OPEN ACCESS

Abstract: 

This paper presents the differential transformation method to evaluate approximate solution of ordinary differential equation along with its application in electrical circuit problem in various time domain. The method has been well established with six test problems and comparison has been made between analytical and numerical results to obtain convergence to a fair degree of accuracy. The results obtained suggest that the present technique can be treated as an efficient and alternative method for solving initial and boundary value problems.

Keywords: 

differential transformation method (dtm), inverse dtm, Taylor’s series, power series

1. Introduction
2. Numerical Examples
3. Application of Differential Transformation Method (DTM)
4. Conclusion
  References

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