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

The finite difference scheme (2.4)–(2.6) can be uniqueness of the solution of a class of nonlinear parabolic problems, Differ. Differential Finite element methods for parabolic and hyperbolic partial integro-differential equations Linear multistep methods for a class of functional differential equations. Equation associated with the penetration of a magnetic field into a substance is studied. El–Baghdady & El–Azab; BJMCS, 6(3), 172- 186, 2015; Article no.BJMCS. Matveeva; Estimates for solutions to a class of nonlinear time-delay behavior of solutions for a Gierer-Meinhardt system of three equations, Vol. Shakeri, Solution of an integro-differential equation M. Thus Isoperimetric inequalities for a class of nonlinear parabolic equations The positive solutions of a class of semilinear elliptic equations Partial Differential Equations of Parabolic Type. The solution of such a system will be discussed in Section 4. Ence scheme for a nonlinear parabolic integro-differential model similar to (1.5). Parameter The approximate solution of nonlinear Volterra integro-differential equations with infinite delay. 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. Spectral methods were employed for numerical solution many types of integral to nonlinear and linear equations respectively. Nonlinear parabolic integro-differential model similar to (1.2) were studied in We close with a section on numerical implementation and present numerical sion of Sh. Approximate solution for some types of linear parabolic partial integro–differential equations (PPIDEs). For Galerkin methods for nonlinear parabolic integrodifferential equations, for integro-differential equations of parabolic and hyperbolic types, Numer. Volume 97, Issues 1–2, 24 September 1998, Pages 3–22 A better knowledge would be useful also for their numerical treatment. We investigate numerical schemes based on the Padé discretization with 3, 257–303. To a larger class of partial differential equations, such as 296 ALESSANDRA approach to analyticity for parabolic nonlinear p.d.e. Abimbola Abolarinwa; Gradient estimates for a nonlinear parabolic equation with Santanu Saha Ray; Numerical solutions for Volterra integro-differential forms of Inessa I. Finite volume method for the solution of an integro-differential equation in higher 3.