Evaluation of Partial Differential Equations with Variable Coefficients using He-Laplace Technique
Authors: Usman S, Saleh A, Salisu M
In this article, solution to partial differential equations with variable coefficients was presented in different forms using He-Laplace technique. Implementation of this was shown using some numerical examples and compared with known technique. The results show that solutions from the He-Laplace technique is relatively accurate and the technique is more efficient and powerful than the Reduced Differential Transform Method (RDTM) showing the absolute error of the solution converging to zero faster and in less iterations.
Affiliations: Department of Mathematics, Faculty of Science, Federal University Dutse, P.M.B. 7156, Jigawa State, Nigeria.
Keywords: He-Laplace, Heat And Wave Equations, Analytic Solution, RDTM, Partial Differential Equations
Published date: 2018/12/30