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higher order boundary condition

A Method of Improving the Stability of Liao's Higher-Order Absorbing Boundary Condition

A Method of Improving the Stability of Liao's Higher-Order Absorbing Boundary Condition

... the higher-order ...the higher stability can be realized when the poles of the reflection coefficient are within the unit circle of the complex plane, and also stabilized Liao’s ABC by adding small ...

12

Existence of solutions for a class of nonlinear higher order fractional differential equation with fractional nonlocal boundary condition

Existence of solutions for a class of nonlinear higher order fractional differential equation with fractional nonlocal boundary condition

... they lead to more precise measures than those proposed by a local condition; then, it is greatly important to obtain specific solutions when a solution exists. For this reason, the aim of this paper is to study the ...

9

Solution of Higher Order Linear Boundary Value Problem Using Stochastic Method

Solution of Higher Order Linear Boundary Value Problem Using Stochastic Method

... given boundary conditions are also convert into discretization ...The boundary condition in discretization form is give additional information for the solution ...

7

Higher order functional boundary value problems without monotone assumptions

Higher order functional boundary value problems without monotone assumptions

... • No extra condition on the nonlinear part of () is considered, besides a Nagumo-type growth assumption. In fact, as far as we know, it is the first time where lower and upper solutions technique is used without ...

11

Generalized Green's functions for higher order boundary value matrix differential systems

Generalized Green's functions for higher order boundary value matrix differential systems

... problem, an existence condition as well as an explicit closed form expression for the solution of possibly not well-posed boundary value problems is given avoiding the increase of the pr[r] ...

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The Boundary Value Problems of Higher Order Mixed Type of Delay Differential Equations

The Boundary Value Problems of Higher Order Mixed Type of Delay Differential Equations

... the boundary value problem for a class of higher order mixed type of delay differential equations with ...sufficient condition of existence of their solutions is ...

8

Symmetric positive solutions of higher-order boundary value problems

Symmetric positive solutions of higher-order boundary value problems

... In recent years, many authors have studied BVP (.), they only considered that f is non- decreasing or nonincreasing in u, or the boundary condition depends only on derivatives of even orders; see [–] ...

8

Positive solutions of singular fractional order differential system with Riemann Stieltjes integral boundary condition

Positive solutions of singular fractional order differential system with Riemann Stieltjes integral boundary condition

... In this paper, we study the existence of positive solutions to a class of higher-order nonlinear fractional functional differential system with Riemann-Stieltjes integral boundary conditions. Our ...

12

On a generalization of the Dirichlet problem for the Poisson equation

On a generalization of the Dirichlet problem for the Poisson equation

... the boundary value problems in the unit ball with higher-order derivatives in the boundary conditions were studied by Karachik [–], Sokolovski˘ı [], and ...the boundary conditions ...

15

Existence results for higher order fractional differential equation with multi-point boundary condition

Existence results for higher order fractional differential equation with multi-point boundary condition

... of boundary-value pro- blems for nonlinear fractional differential equations (see [8-20] and references along this ...for boundary value problem of fractional differential ...

9

Hamiltonian Representation of Higher Order Partial Differential Equations with Boundary Energy Flows

Hamiltonian Representation of Higher Order Partial Differential Equations with Boundary Energy Flows

... implicit higher order field port Hamiltonian representation with ...for higher order partial differential equations from the implicit Hamiltonian ...it higher order field port ...

19

A higher order method for nonlinear singular two point boundary value problems

A higher order method for nonlinear singular two point boundary value problems

... a higher-order method for the nonlinear problem ...The higher order of convergence is obtained by ap- proximating the function g by a quadratic interpolating ...fourth order for the ...

13

Spectral Properties of the Differential Operators of the Fourth Order with Eigenvalue Parameter Dependent Boundary Condition

Spectral Properties of the Differential Operators of the Fourth Order with Eigenvalue Parameter Dependent Boundary Condition

... It is clear from the second relation 3.4 that the sign of y is not necessarily preserved after the transformation 3.2. For this reason this transformation cannot be used in any straightforward way. The following lemma of ...

29

On boundary value problems of higher order abstract fractional integro-differential equations

On boundary value problems of higher order abstract fractional integro-differential equations

... Fractional differential equations have been recently used as effective tools in study the modelling of many real phenomena. Scientists and engineers have become more conscious of the fact that the description of natural ...

20

Global structure of positive solutions for second order difference equation with nonlinear boundary value condition

Global structure of positive solutions for second order difference equation with nonlinear boundary value condition

... Through careful analysis we have found that the boundary condition in (.) is nonlinear but it can be linearized and this makes it possible to establish existence results for posi- tive solutions of (.) ...

11

An Algorithm based on Predicting the Interface in Phase Change Materials

An Algorithm based on Predicting the Interface in Phase Change Materials

... In this study, the finite difference approach and the boundary immobilization method has been selected to find the position of moving interface and the temperature distribution. Most of the proposed methods cannot ...

6

On the Solution of Fractional Order Nonlinear Boundary Value Problems By Using Differential Transformation Method

On the Solution of Fractional Order Nonlinear Boundary Value Problems By Using Differential Transformation Method

... The results of this research support the idea that DTM has high degree of accuracy in numerical solution. We introduced general form of nth-order BVPs for fractional order func- tion. This research will ...

12

Singular boundary value problems for quasi differential equations

Singular boundary value problems for quasi differential equations

... Singular nonlinear boundary value problems for higher order ordinary differential equations, Nonlin.. Singular boundary value problems, Bull.[r] ...

8

Existence and Uniqueness of Solutions for Higher-Order Three-Point Boundary Value Problems

Existence and Uniqueness of Solutions for Higher-Order Three-Point Boundary Value Problems

... Higher-order boundary value problems were discussed in many papers in recent years; for instance, see 1–22 and references ...the boundary conditions in the above-mentioned references are for ...

16

Sixth order finite difference scheme for the Helmholtz equation with inhomogeneous Robin boundary condition

Sixth order finite difference scheme for the Helmholtz equation with inhomogeneous Robin boundary condition

... in order to get high performance simulation ...the boundary element method (see, ...Dirichlet boundary condition were considered in [3, 10] and with the Neumann boundary ...

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