Approximate analytical solutions for multispecies convection-dispersion transport equation with variable parameters

Multispecies pollutant migration often occurs in polluted groundwater systems. Most of the multispecies problems that have been dealt literature assume constant transport parameters, primarily because analytical solutions for varying parameters become a challenge. The present study analytically solves two-species convection-dispersion equation, considering spatially dispersion coefficient and seepage velocity, which corresponds to steady flow domain. Indeed, methodology can be adopted other cases, such as transient domain an unsteady domain, without any difficulty. Three kinds homotopy-based methods, namely homotopy perturbation method (HPM), analysis (HAM), optimal asymptotic (OHAM), are used derive approximate form truncated series. In method, convergence-control parameter ℏ plays key role convergence series solution. It is observed specific case this parameter, ℏ=−1, HAM-based solution recovers HPM-based For verification solutions, we utilize MATLAB routine pdepe , efficiently class parabolic PDEs (single/system). An excellent agreement found between derived numerical all three methods. Further, quantitative assessment carried out solutions. Also, theorems proposed obtained using HAM OHAM.