... type equation Boundary value problems Adomian decomposition technique Convergence analysis The study of non-linear differential equations (NDEs) attracts many researchers due to their wide applications in several fields of science and engineering, such as chemistry (Gel’fand, 1959...

.../methodology/approach The proposed method is based on the two-point Taylor formula as a special case of the Hermite interpolation technique. Findings An explicit approximate form of the temperature distribution is computed. The convergence analysis is also discussed. Some results are reported...

... Stability Heat and mass transfer Convergence analysis Experimental order of convergence Method of manufactured solutions Porous channel flow Semi-implicit scheme u = Fluid velocity; T = Fluid temperature; c = Pollutant concentration; t...

... the stability technique to overcome this flaw. Findings The stability and the convergence analysis shows that the method is stable and has optimal-order error estimates. Originality/value Numerical experiments confirm the theoretical analysis and illustrate that the authors’ method is highly effective...

... Thermal radiation Magnetic field Nanofluid Porous media Entropy generation Convergence analysis Mathematica package BVPh 2.0 software The flows through porous medium have been studied and analyzed by Alamri et al. (2019) , Alazmi and Vafai (2002) , Fetecau et al. (2018...

.... In so doing, the non-linear equation can be considered as a linear one. Findings The convergence analysis is studied before using the method to the proposed momentum equation. It reflects that the method approaches to the exact solution of the equation. The numerical solution of the mathematical...