Residual power series method for solving nonlinear reaction-diffusion-convection problems
Copyright policy )Residual power series method for solving nonlinear reaction-diffusion-convection problems
In this paper, the residual power series method (RPSM) is applied to one of the most frequently used models in engineering and science, a nonlinear reaction diffusion convection initial value problems. The approximate solutions using the RPSM were compared to the exact solutions and to the approximate solutions using the homotopy analysis method.
Heat Transfer Enhancement in Nanofluids, Quasilinear parabolic equations, residual power series method, nonlinear reaction-diffusion-convection equation, Biomedical Engineering, FOS: Medical engineering, Convection, Mechanics, Mathematical analysis, Quantum mechanics, Convergence Analysis of Iterative Methods for Nonlinear Equations, Diffusion, absolute error, Engineering, QA1-939, FOS: Mathematics, Series (stratigraphy), Homotopy perturbation method, homotopy perturbation method, Anomalous Diffusion Modeling and Analysis, Numerical Analysis, Physics, Pure mathematics, Paleontology, Power series, Geology, FOS: Earth and related environmental sciences, Applied mathematics, Algorithm, Homotopy analysis method, Reaction-diffusion equations, Modeling and Simulation, Residual, Physical Sciences, Nonlinear system, Thermodynamics, Series solutions to PDEs, Homotopy Analysis Method, Homotopy, Mathematics
Heat Transfer Enhancement in Nanofluids, Quasilinear parabolic equations, residual power series method, nonlinear reaction-diffusion-convection equation, Biomedical Engineering, FOS: Medical engineering, Convection, Mechanics, Mathematical analysis, Quantum mechanics, Convergence Analysis of Iterative Methods for Nonlinear Equations, Diffusion, absolute error, Engineering, QA1-939, FOS: Mathematics, Series (stratigraphy), Homotopy perturbation method, homotopy perturbation method, Anomalous Diffusion Modeling and Analysis, Numerical Analysis, Physics, Pure mathematics, Paleontology, Power series, Geology, FOS: Earth and related environmental sciences, Applied mathematics, Algorithm, Homotopy analysis method, Reaction-diffusion equations, Modeling and Simulation, Residual, Physical Sciences, Nonlinear system, Thermodynamics, Series solutions to PDEs, Homotopy Analysis Method, Homotopy, Mathematics
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