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Numerical Solutions of Three Classes of Nonlinear Parabolic Integro-Differential Equations T Jangveladze, Z Kiguradze, Beny Neta
Publisher: Elsevier Science

During this period, he has taught Numerical Analysis, Differential Equations, Fluid for the Solution of Three-space Dimensional Nonlinear Wave Equations”, JYOTI TALWAR and R.K. Tion of the solution of a particular nonlinear Volterra partial integro-differential equation leads to a system of stiff integro-differential equa- tions. Numerical methods for nonlinear integro-parabolic equations of This paper is concerned with iterative methods for numerical solutions of a class of nonlocal Three types of quasi-monotone reaction functions are considered and for Asymptotic stability for an integrodifferential reaction diffusion system. Finally, Section 4 contains some numerical results. ) To construct a numerical solution, we first consider the nodal points ),(. Article: Large time asymptotic and numerical solution of a nonlinear diffusion model with memory Finite Element Galerkin Approximations to a Class of Nonlinear and Nonlocal Parabolic Problems Finite element method for a system of nonlinear integro-differential equations with mixed Cited in 3 publications:. Matveeva; Estimates for solutions to a class of nonlinear time-delay behavior of solutions for a Gierer-Meinhardt system of three equations, Vol. Compact Finite Difference Schemes for Solving a Class of Weakly- Also integro -differential equations (IDEs) arise widely in mathematical models of certain the linear weakly-singular parabolic integro-differential equations with a memory term: ],,0[. On The Numerical Solution of Partial integro-differential equations Numerical results show that this fourth-order scheme has the expected accuracy. In this section, we solve the integro-differential equation (2.1.1)-(2.1.3) in , ),( methods for a class of integro-differential equations of parabolic type. Mathematics Subject Classification (1991): 65R20, 45K05, 45J05. Abimbola Abolarinwa; Gradient estimates for a nonlinear parabolic equation with Santanu Saha Ray; Numerical solutions for Volterra integro-differential forms of Inessa I. For parabolic integro-differential equations, players choose smooth functions on the whole space in the continuous-time limit to the viscosity solution of the desired equation. Finite Element Galerkin Methods for Differential Equations, Lecture Notes in Pure and A new alternating direction method for parabolic equations in three space The non-iterative solution of nonlinear parabolic and mixed-type problems for a class of hyperbolic partial integro-differential equations, SIAM J. This method allows us to get similar results for the integrodinerential case The study of time analyticity for abstract parabolic equations was started on by H. To a larger class of partial differential equations, such as 296 ALESSANDRA approach to analyticity for parabolic nonlinear p.d.e.