On the choice of auxiliary linear operator in the optimal homotopy analysis of the Cahn-Hilliard initial value problem

DOI10.1007/s11075-013-9733-8zbMath1293.65137OpenAlexW2067252296MaRDI QIDQ2249826

Mathew Baxter, Robert A. van Gorder, Kuppalapalle Vajravelu

Publication date: 3 July 2014

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-013-9733-8

zbMATH Keywords

Cahn-Hilliard equationoptimal control problemhomotopy analysis methodnumerical resultauxiliary linear operatorconvergence control parameternonlinear initial value problem

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) PDEs in connection with fluid mechanics (35Q35) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Existence theories for optimal control problems involving partial differential equations (49J20) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

Related Items (6)

Semi-analytical method for propagation of harmonic waves in nonlinear magneto-thermo-elasticity ⋮ On the method of inverse mapping for solutions of coupled systems of nonlinear differential equations arising in nanofluid flow, heat and mass transfer ⋮ On the bivariate spectral homotopy analysis method approach for solving nonlinear evolution partial differential equations ⋮ A method of directly defining the inverse mapping for solutions of coupled systems of nonlinear differential equations ⋮ 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 ⋮ The variational iteration method is a special case of the homotopy analysis method

Uses Software

• BVPh

Cites Work

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