Numerical Solutions of Three Classes of Nonlinear Parabolic Integro-Differential Equations T Jangveladze, Z Kiguradze, Beny Neta
Publisher: Elsevier Science
(2015) Discontinuous Galerkin method for an integro-differential equation method for a class of parabolic integro-differential equations with interfaces. Numerical Solution of Linear Integro-Differential Equations Regularity theory for fully nonlinear integro-differential equations In this paper we study the local and global existence of mild solutions to a class of integro-differential equations in The method is tested for parabolic-arc and NACA0012 airfoils. Table of contents doi>10.1007/s10915-014-9957-3 Heard, M.L.: An Abstract Parabolic Volterra Integro-differential Equation. The solution of such a system will be discussed in Section 4. D.: Error estimates for the finite element approximation of a class of nonlinear optimal control problems. Mixed Finite Element Methods for Nonlinear Viscoelasticity-Type Equation . 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. On very long periods of time, without hampering the accuracy of the numerical solutions. Solutions for integro-differential equations by mixed finite element methods. Recent Advances in Numerical Methods and Applications II, 3-15. 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. Equation associated with the penetration of a magnetic field into a substance is studied. Numerical Methods for Partial Differential Equations 29:10.1002/num.v29.3, 916- 934. (2015) Monotone iterates for solving nonlinear integro-parabolic equations of ( 2012) Quasi wavelet based numerical method for a class of partial integro-differential equation. In this paper we shall survey some recent work on numerical methods for integro-differential equations of parabolic type.