Aim of the paper is to investigate approximate analytical solution of time-dependent partial differential equation using a semi-analytical method, the Optimal Homotopy Asymptotic Method (OHAM). To show the efficiency of the proposed method, we consider one-dimensional heat and advection-diffusion equations. OHAM uses simple computations with pretty good enough approximate solution, which has an excellent agreement with the exact solution available in open literature. OHAM is not only reliable in obtaining series solution for such problems with high accuracy but it also saving the volume and time as compared to other analytical methods.
"The Application of Optimal Homotopy Asymptotic Method for One-Dimensional Heat and Advection- Diffusion Equations,"
Information Sciences Letters: Vol. 2
, Article 2.
Available at: https://digitalcommons.aaru.edu.jo/isl/vol2/iss2/2