A method of directly defining the inverse mapping for a nonlinear partial differential equation and for systems of nonlinear partial differential equations

DOI10.1007/s40314-021-01627-yzbMath1476.35098OpenAlexW3198927227WikidataQ114219321 ScholiaQ114219321MaRDI QIDQ2245785

D. Karunarathna, Z. A. M. S. Juman, C. W. Sahabandu, P. Sewvandi, Mangalagama Dewasurendra, Kuppalapalle Vajravelu

Publication date: 15 November 2021

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

Full work available at URL: https://doi.org/10.1007/s40314-021-01627-y

zbMATH Keywords

coupled nonlinear partial differential equationstransitional Korteweg-de Vries equationdirectly defining the inverse mappingfingering phenomenon model in oil industry

Mathematics Subject Classification ID

Nonlinear higher-order PDEs (35G20) Numerical methods for partial differential equations, boundary value problems (65N99) Systems of nonlinear higher-order PDEs (35G50)

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Uses Software

• BVPh

Cites Work

• On the method of directly defining inverse mapping for nonlinear 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
• Nonlinear Flow Phenomena and Homotopy Analysis
• Homotopy Analysis Method in Nonlinear Differential Equations
• Beyond Perturbation

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