The Unique Solvability and Approximation of BVP for a Nonlinear Fourth Order Kirchhoff Type Equation
Year: 2018
East Asian Journal on Applied Mathematics, Vol. 8 (2018), Iss. 2 : pp. 323–335
Abstract
We reduce a nonlinear fourth order equation of Kirchhoff type to an operator equation for a nonlinear term and establish sufficient conditions for the unique solvability of the original problem. Approximate solutions of the problem are derived by a fast converging iterative method. Numerical examples confirm theoretical results and demonstrate the efficiency of the approach used.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.231017.250118a
East Asian Journal on Applied Mathematics, Vol. 8 (2018), Iss. 2 : pp. 323–335
Published online: 2018-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
Keywords: Beam equation Kirchhoff type equation nonlinear equation unique solvability iterative method.
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