Abstract
The Laplace transform with residual power series method is one of the efficient and reliable methods for the solution of fractional-order linear as well as nonlinear differential equations. The aim of this work is to find the solution of one-dimensional fractional-order differential equation by using Laplace transform with residual power series method. The comparison between exact solution and approximate solutions of these equations by Laplace residual power series method is determined. The unknown coefficients of the series are obtained by using Laplace transform with residual power series method. This method reduces the size of computational works and the solution is obtained in series form.
| Original language | English |
|---|---|
| Title of host publication | Advance Numerical Techniques to Solve Linear and Nonlinear Differential Equations |
| Publisher | River Publishers |
| Pages | 135-147 |
| Number of pages | 13 |
| ISBN (Electronic) | 9788770229869 |
| ISBN (Print) | 9788770229876 |
| Publication status | Published - 4 Sept 2023 |
| Externally published | Yes |
Keywords
- Laplace residual function
- Laplace transforms
- Residual power series method
- Schrodinger differential equation
ASJC Scopus subject areas
- Economics, Econometrics and Finance (all)
- General Business,Management and Accounting
- General Computer Science