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Fuzzy solution of homogeneous heat equation having solution in Fourier series form
Springer Science and Business Media LLC - Tập 76 - Trang 181-194 - 2018
While solving practical problems, we often come across situations where the system involves fuzziness. The mathematical models resulting in partial differential equations, involve fuzzy parameters and variables. In available literature, methods are presented mainly for solving non-homogeneous fuzzy partial differential equations (see Allahviranloo in Comput Methods Appl Math 2(3):233–242, 2002; Al......
Existence and regularity of solutions in $$\alpha $$-norm for some partial functional integrodifferential equations in banach spaces
Springer Science and Business Media LLC - - 2020
Comparing two techniques for developing higher order two-point iterative methods for solving quadratic equations
Springer Science and Business Media LLC - - 2019
Finite element discretization of a nonlinear thermoelastic beam model with penalized unilateral contact
Springer Science and Business Media LLC - Tập 64 - Trang 41-64 - 2014
We consider the steady case of a nonlinear model for a thermoelastic beam that can enter in contact with obstacles via a penalization term. We first prove the well-posedness of this problem. Next, we propose a finite element discretization and perform the a priori and a posteriori analysis of the discrete problem. Some numerical experiments confirm the interest of this approach.
A posteriori error analysis of the time dependent Navier–Stokes equations with mixed boundary conditions
Springer Science and Business Media LLC - - 2015
Upper and lower solutions method for fuzzy differential equations
Springer Science and Business Media LLC - - 2010
Irregular colorings of derived graphs of flower graph
Springer Science and Business Media LLC - Tập 77 - Trang 47-57 - 2019
The concept of irregular coloring was established by Radcliffe and Zhang (AKCE J Graphs Combinator 3(2):175–191, 2006). Irregular coloring is a proper coloring, in which distinct vertices have different color codes. In this paper, we find the irregular chromatic number for the following graphs: $$M\left( F_{n}\right) $$, $$T\left( F_{n}\right) $$, $$L\left( F_{n}\right) $$, $$C\left( F_{n}\right) ......
A survey on direct solvers for Galerkin methods
Springer Science and Business Media LLC - Tập 57 - Trang 107-134 - 2013
In this paper we describe the history, performance, and design concepts of direct solvers for algebraic systems resulting from Galerkin discretizations of partial differential equations. Popular direct solver implementations of Gaussian elimination (also known as LU factorization) are introduced and briefly analyzed. We discuss three of the most relevant aspects influencing the performance of dire......
Galerkin mixed finite element method for parabolic p-biharmonic equation with memory term
Springer Science and Business Media LLC - - Trang 1-15 - 2023
A high-order parabolic p-biLaplace equation with memory term is studied. Using Roth’s method, we managed to find the approximate solution of the time semi-discretized problem. Some a priori estimates are proved, from which we extract convergence, existence, uniqueness and qualitative results in suitable functional spaces. A full discretization scheme using the mixed finite element method is introd......
Extended local and semilocal convergence for interpolatory iterative methods for nonlinear equations
Springer Science and Business Media LLC - Tập 79 - Trang 619-630 - 2021
Two iterative methods free of the Fréchet derivative of a nonlinear operator are considered. A local and a semilocal convergence analysis of the methods is carried out under Lipschitz conditions for the first-order divided differences and Hölder conditions for the second-order divided differences. The dependence of the convergence orders of methods on the Hölder constant and uniqueness ball are es......
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