Downloads: 115 | Views: 243 | Weekly Hits: ⮙1 | Monthly Hits: ⮙1
Case Studies | Mathematics | Nigeria | Volume 3 Issue 6, June 2014 | Popularity: 6.7 / 10
Numerical Solution of Second-Order Differential Equations by Differential Transformation Method (DTM)
Falade K.I
Abstract: In this paper; the differential transformation method (DTM) is used to find numerical solution of the second-order differential equations (exponential type). The method reduces the equations to recurrence relations which is further to approximate solutions. Comparing the method with the exact solution shows that the present approach is effective and powerful. Four modeling problems from mathematical physics are discussed to illustrate the effectiveness and the performance of the proposed method. The results demonstrate reliability and efficiency of this method for second order differential equations.
Keywords: Second Order Differential Equations SODE, Differential Transformation Method DTM, Taylor Series, Recurrence Relation and Approximate Solution
Edition: Volume 3 Issue 6, June 2014
Pages: 754 - 757
Similar Articles
Downloads: 3 | Weekly Hits: ⮙3 | Monthly Hits: ⮙3
Research Paper, Mathematics, India, Volume 11 Issue 8, August 2022
Pages: 1360 - 1362A Taylor Series Method for the Solution of the Boundary Value Problems for Higher Order Ordinary Differential Equation
Dr. Chitra Singh, Mukesh Yadav
Downloads: 37
Research Paper, Mathematics, India, Volume 10 Issue 2, February 2021
Pages: 1540 - 1542Neumann Boundary Condition on Taylor Series Method
Dr. Chitra Singh, Mukesh Yadav
Downloads: 105
Research Paper, Mathematics, India, Volume 4 Issue 11, November 2015
Pages: 1398 - 1402Analysis to Thermoelastic Interactions under a Heat Conduction Model with a Delay Term
Sudhakar Yadav
Downloads: 131
Research Paper, Mathematics, Saudi Arabia, Volume 4 Issue 1, January 2015
Pages: 538 - 548A Computational Approach for Solving Singular Volterra Integral Equations with Abel Kernel and Logarithmic Singularities Using Block Pulse Functions
Sharefa EISA ALI ALHAZMI
Downloads: 134
Research Paper, Mathematics, India, Volume 5 Issue 11, November 2016
Pages: 557 - 562A Four Step Wavelet Galerkin Method for Parabolic and Hyperbolic Problems
Jyoti Sharma, S. K. Srivastava