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[PDF] Top 20 Parallel multigrid solution of boundary value problems

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Parallel multigrid solution of boundary value problems

Parallel multigrid solution of boundary value problems

... In this research report, we will be concerned with the finite-difference multigrid solution of nonlinear elliptic boundary value problems BVP's , and consider the implementation of multi[r] ... See full document

204

The Numerical Solution of the Exterior Boundary Value Problems for the Helmholtz's Equation for the Pseudosphere

The Numerical Solution of the Exterior Boundary Value Problems for the Helmholtz's Equation for the Pseudosphere

... This choice of the coefficient minimizes the condition number, and (6) is uniquely solvable for the pseudosphere. This coefficient was given for spherical regions, but the pseudosphere is a hyperbolic region. Therefore ... See full document

6

Positive solution for boundary value problems with p-Laplacian in Banach spaces

Positive solution for boundary value problems with p-Laplacian in Banach spaces

... for boundary value problems with p-Lapla- cian in Banach ...positive solution for boundary value problems in Banach ... See full document

6

Iterative solution to singular nth-order nonlocal boundary value problems

Iterative solution to singular nth-order nonlocal boundary value problems

... The boundary value problems (BVPs for short) for nonlinear differential equations arise in a variety of areas of applied mathematics, physics, and variational problems of con- trol ... See full document

10

Septic B Spline Solution of Fifth Order Boundary Value Problems

Septic B Spline Solution of Fifth Order Boundary Value Problems

... fifth-order boundary value problems are solved by means of septic B-splines collocation me- ...nonlinear problems to linear problems and reduce a boundary value problem to ... See full document

9

Slowly Oscillating Solutions of a Parabolic Inverse Problem: Boundary Value Problems

Slowly Oscillating Solutions of a Parabolic Inverse Problem: Boundary Value Problems

... the solution V, q of Problem 2 can be easily obtained from that of the solution u, q of Problem ...the solution of Problem 2. We show that Problem 1 has a unique solution u, ... See full document

12

A Method for Numerical Solution of Two Point Boundary Value Problems with Mixed Boundary Conditions

A Method for Numerical Solution of Two Point Boundary Value Problems with Mixed Boundary Conditions

... y ′ = y ′ + − hG x y y ′ (14) where G and G 1 are increment functions. The method (14) appears to me similar to the implicit Euler me- thod available in [7], for initial value problems in ordinary ... See full document

7

Existence of solution for integral boundary value problems of fractional differential equations

Existence of solution for integral boundary value problems of fractional differential equations

... positive solution of fractional differential equations is gained by using the properties of the Green’s function, Leray–Schauder’s fixed point theorems, and Guo–Krasnosel’skii’s fixed point ... See full document

13

A numerical approach for the solution of a class of singular boundary value problems arising in physiology

A numerical approach for the solution of a class of singular boundary value problems arising in physiology

... linear problems; the resulting set of differential equa- tions is modified at the singular point, then spline collocation is utilized to obtain the nu- merical ...the solution of a class of SBVP arising in ... See full document

10

Existence of positive solution to a class of boundary value problems of fractional differential equations

Existence of positive solution to a class of boundary value problems of fractional differential equations

... By the use of classical fixed point theorem of nonlinear alternative of Leray- Schauder type and Banach concatenation theorem, we have developed some necessary and sufficient conditions for the existence of at least one ... See full document

11

Approximation of Solution of Some m Point Boundary Value Problems on Time Scales

Approximation of Solution of Some m Point Boundary Value Problems on Time Scales

... The purpose of this paper is to develop the method of upper and lower solutions and the method of quasilinearization 22–26. Under suitable conditions on f, we obtain a monotone sequence of solutions of linear ... See full document

11

On two boundary-value problems of functional integro-differential equations with nonlocal conditions

On two boundary-value problems of functional integro-differential equations with nonlocal conditions

... real-life problems usually results in functional equations, of various types appear in many applications that arise in the fields of mathematical analysis, nonlinear functional analysis, mathematical physics, and ... See full document

7

Plane waves in thermoelasticity with one relaxation time

Plane waves in thermoelasticity with one relaxation time

... these problems. Laplace transform is used to find the general solution and then solutions to the problems of ramp-type increase in bound- ary temperature and in boundary stress are obtained for ... See full document

8

Solvability of n th-order Lipschitz equations with nonlinear three-point boundary conditions

Solvability of n th-order Lipschitz equations with nonlinear three-point boundary conditions

... matching solution of a three-point boundary value problem, it needs usually four two-point boundary value problems and among them two two-point boundary value ... See full document

16

Variational Formulations Yielding High Order Finite Element Solutions in Smooth Domains without Curved Elements

Variational Formulations Yielding High Order Finite Element Solutions in Smooth Domains without Curved Elements

... Physics solution methods of boundary value problems with Dirichlet boundary conditions, posed in a two- or three-dimensional domain having a smooth curved boundary of arbitrary ... See full document

13

Multigrid Solution of the Debye-Hückel Equation

Multigrid Solution of the Debye-Hückel Equation

... solve boundary value problems which have had notable success in creating fast and accurate numerical solutions for elliptic partial differential ...equations. Multigrid methods are comprised ... See full document

114

Solution of Boundary-Value Problems using Kantorovich Method

Solution of Boundary-Value Problems using Kantorovich Method

... the solution of two-dimensional boundary-value problems (BVP) for elliptic differ- ential equations with nonseparable variables in a finite domain ...these problems is implemented as the ... See full document

6

Wavelet– Galerkin Solution for Boundary Value Problems

Wavelet– Galerkin Solution for Boundary Value Problems

... solve boundary value ...the problems with periodic boundary conditions have been handled ...Fictious boundary approach with Dirichlet boundary conditions have been applied by ... See full document

10

The numerical solution of boundary value problems in partial differential equations

The numerical solution of boundary value problems in partial differential equations

... where u Is the vector of values u(x,t) at the nodes x. « £ , (i ■ 0,1,.. • .,N; Nh « 1), ln is a vector Involving the boundary conditions at t = nk, and U is a matrix of onir N«d. It la well known (e.g. 3j' that ... See full document

157

Numerical Solution for Initial and Boundary Value Problems of Fractional Order

Numerical Solution for Initial and Boundary Value Problems of Fractional Order

... and boundary equations are transformed into the products of several matrix- es and by scattering the coefficients and the products of ...and boundary value problems of fractional or- dinary ... See full document

14

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