A method of directly defining the inverse mapping for solutions of non-linear coupled systems arising in convection heat transfer in a second grade fluid

DOI10.1016/j.amc.2018.07.015zbMath1429.76031OpenAlexW2888068765MaRDI QIDQ2007587

Mathew Baxter, Mangalagama Dewasurendra, Kuppalapalle Vajravelu

Publication date: 22 November 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2018.07.015

zbMATH Keywords

nonlinear systemsheat transferfluid flowhomotopy analysis methodanalytical methodsdirectly defining inverse mapping

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Inverse problems for PDEs (35R30) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Diffusive and convective heat and mass transfer, heat flow (80A19)

Related Items (3)

Semi-analytical method for propagation of harmonic waves in nonlinear magneto-thermo-elasticity ⋮ A method of directly defining the inverse mapping for a nonlinear partial differential equation and for systems of nonlinear partial differential equations ⋮ Avoiding Small Denominator Problems by Means of the Homotopy Analysis Method

Uses Software

• BVPh

Cites Work

• Unnamed Item
• On the method of directly defining inverse mapping for nonlinear differential equations
• Optimal homotopy analysis and control of error for solutions to the non-local Whitham equation
• Gaussian waves in the Fitzhugh-Nagumo equation demonstrate one role of the auxiliary function \(H(x, t)\) in the homotopy analysis method
• On the selection of auxiliary functions, operators, and convergence control parameters in the application of the homotopy analysis method to nonlinear differential equations: a general approach
• Heat and mass mixed convection for MHD visco-elastic fluid past a stretching sheet with ohmic dissipation
• An approximation theorem for functionals, with applications in continuum mechanics
• A method of directly defining the inverse mapping for solutions of coupled systems of nonlinear differential equations
• Fourth order non-linear systems arising in combined free and forced convection flow of a second order fluid
• On the choice of auxiliary linear operator in the optimal homotopy analysis of the Cahn-Hilliard initial value problem
• Homotopy analysis method for quadratic Riccati differential equation
• Exact and analytical solutions for a nonlinear sigma model
• Homotopy Analysis Method in Nonlinear Differential Equations
• Uniqueness of flow of a second-order fluid past a stretching sheet
• Normal Stress Effects in Second-Order Fluids
• Heat transfer in a viscoelastic fluid over a stretching sheet

This page was built for publication: A method of directly defining the inverse mapping for solutions of non-linear coupled systems arising in convection heat transfer in a second grade fluid