Monotone iterative technique for weakly coupled system of finite difference equations of time degenerate parabolic problems
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DOI:
https://doi.org/10.26637/MJM0702/0007Abstract
The purpose of this paper is to develop monotone iterative technique for finite difference system, which correspond to a class of semilinear weakly coupled system of time degenerate parabolic initial boundary value problems and prove existence-comparison result.
Keywords:
Monotone iterative technique, Finite difference equations, Dirichlet initial boundary value problem, Existence- comparison resultMathematics Subject Classification:
Mathematics- Pages: 171-176
- Date Published: 01-04-2019
- Vol. 7 No. 02 (2019): Malaya Journal of Matematik (MJM)
Ames,W.F.: Numerical methods for partial differential equations(3rd edition).Academic Press, San Diego, 1992.
Dhaigude, D.B., Dhaigude, R.M.,Dhaigude,C.D.: Monotone technique for nonlinear time degenerate reaction diffusion problems, Recent Advances in Mathematical Sciences and Applications, (2009), 112-120.
Dhaigude,D.B., Kiwne, S.B.,Dhaigude, R.M.: Method of upper lower solutions for finite difference coupled reaction diffusion systems, Bull. Marathwada Math. Soc., $8(2007), 21-31$.
Dhaigude, D.B., Kiwne ,S.B.,Dhaigude, R. M.: Monotone iterative scheme for weakly coupled system of finite difference reaction-diffusion equations, Comm. Appl. Anal., 12(2)(2008), 161-172.
Dhaigude, D.B., Sontakke, B.R.,Dhaigude, C.D.: Monotone technique for nonlinear degenerate weakley coupled system of parabolic problems, Comm. Appl. Anal., $15(1)(2011), 13-24$.
Forsythe, G.E., Wasow, W.R.: Finite difference methods for partial differential equations, Wiley, New York, 1964.
Ladde,G.S., Lakshmikantham, V., Vatsala,A.S.: Monotone iterative techniques for nonlinear differential equations. Pitman, New York, 1985.
Leung, A.W.: Systems of nonlinear partial differential equations. Kluwer, Dordrecht-Boston, 1989.
Pao, C.V.: Monotone iterative method for finite difference system of reaction diffusion equations, Numer. Math., $46(1985), 571-586$
Pao, C.V.: Nonlinear parabolic and elliptic equations, Plenum Press, New York, 1992.
Pao, C.V.: Numerical methods for coupled systems of nonlinear parabolic boundary value problems, J. Math. Anal. Appl. 151(1990), 581-608.
Pao, C.V.: Numerical methods for coupled systems of nonlinear parabolic boundary value problems, J. Math. Anal. Appl., 171(2002), 681-708.
Sattinger, D.H.: Monotone methods in nonlinear elliptic and parabolic boundary value problems, Indiana Uni. Math.J., 21(1972), 979-1000.
Sontakke, B.R.,Dhaigude,C.D.: Monotone method for nonlinear weakley coupled degenerate parabolic system, Recent Advances in Mathematical Sciences and Applications, (2009), 258-268.
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