INVERSE PREDICTION AND APPLICATION OF HOMOTOPY PERTURBATION METHOD FOR EFFICIENT DESIGN OF AN ANNULAR FIN WITH VARIABLE THERMAL CONDUCTIVITY AND HEAT GENERATION

DOI10.3846/13926292.2016.1225606zbMath1488.65212OpenAlexW2523541532MaRDI QIDQ5011647

Rajiv Ranjan, Dilip K. Prasad, A. Mallick, Ranjan Kumar Das

Publication date: 27 August 2021

Published in: Mathematical Modelling and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3846/13926292.2016.1225606

zbMATH Keywords

inverse problemperturbation methodheat conductionmathematical modelnonlinear problem

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Numerical methods for ordinary differential equations (65L99) Diffusive and convective heat and mass transfer, heat flow (80A19)

Cites Work

• Unnamed Item
• Comparison of homotopy analysis method and homotopy-perturbation method for purely nonlinear fin-type problems
• On the convergence of homotopy perturbation method
• Study of convergence of homotopy perturbation method for systems of partial differential equations
• An approximate solution technique depending on an artificial parameter: A special example
• Differential evolution -- a simple and efficient heuristic for global optimization over continuous spaces
• Application of the decomposition method to thermal stresses in isotropic circular fins with temperature-dependent thermal conductivity
• Homotopy perturbation method for solving boundary value problems

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