An inverse coefficient problem for quasilinear pseudo-parabolic of heat conduction of Poly(methyl methacrylate) (PMMA)

Year 2020, Volume: 5 Issue: 3, 199 - 207, 30.12.2020

İrem Bağlan , Timur Canel

https://izlik.org/JA84RU42AR

Abstract

.In this research, we consider a coefficient problem of an inverse problem of a quasilinear pseudo-parabolic
equation with periodic boundary condition. It proved the existence, uniqueness and continuously dependence upon
the data of the solution by iteration method.

Keywords

Quasilinear Pseudo-Parabolic Equation , inverse problem , Fourier method

References

• [1] Cannon J,R., Lin Y., Determination of parameter p(t) in Hölder classes for some semilinear parabolic equations. Inverse Problems, 1988,4:595-606.
• [2] Pourgholia R, Rostamiana M and Emamjome M., A numerical method for solving a nonlinear inverse parabolic problem. Inverse Problems inScience and Engineering, 2010, 18(8):1151-1164.
• [3] P.R.Sharma , G. Methi, Solution of two dimensional parabolic equation subject to Non-local conditionsusing homotopy Perturbation method.Jour. of App.Com. Sci,2012; vol.1:12-16.
• [4] M. Dehghan,Identifying a control function in two dimensional parabolic inverse problems. Applied Mathematics and Computation,2003; vol.143 (2): 375-391.
• [5] E. Set, A.O. Akdemir, B. Çelik, On Generalization of Fejér Type Inequalities via fractional integral opera-tor,2018, Filomat, Vol 32: Issue 16.
• [6] A.O. Akdemir, E. Set and A. Ekinci, On new conformable fractional integral inequalities for product ofdi¤erent kinds of convexity, TWMSJournal of Applied and Engineering Mathematics,2019, Vol 9, Issue 1,142-150.
• [7] A. ERGÜN, "The Multiplicity of Eigenvalues of a Vectorial Diffusion Equations with Discontinuous Function Inside A Finite Interval", TurkishJournal of Science, Volume 5, Issue 2, 73-84, 2020.
• [8] A. Ergün and R. Amirov, “Direct and Inverse problems for diffusion operator with discontinuıty points,” Journal of Applied and EngineeringMathematics, vol. 9, no. 1, pp. 9–21, Jan. 2019.
• [9] A. Ergün, “Integral Representation for Solution of Discontinuous Diffusion Operator with Jump Conditions,” Cumhuriyet Science Journal,vol. 39, no. 4, pp. 842–863, Jul. 2018.
• [10] Kanca F.,Baglan I.,An inverse coefficient problem for a quasilinear parabolic equation with nonlocal boundary conditions, Boundary ValueProblems , 2013, V.213.
• [11] Kanca F.,Baglan I.,An inverse problem for a quasilinear parabolic equation with nonlocal boundary and overdetermination conditions, Journalof inequalities and applications, 2014, V.76.