A Difference Method for Boundary Value Problems of the Third Kind*
For the same problems a kind of difference methods, what is called ... for mixed initial and boundary value problems of wave equation and heat equation with the ...
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31 B 35. The Boundary Equation Method in the Third Initial. Boundary Value Problem of the Theory of Elasticity. Part 1. Existence Theorems. I. Yu. Chudinovich.
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methods for solving approximately the four systems of boundary equations (BEs) arising from the solution of the third main initial boundary value problem of the.
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Fourth Order Difference Methods for the Initial Boundary-Value
A method utilizing third order uncentered differences at the boundaries is shown ... to the initial boundary-value problem for first order hyperbolic equations, e.g.,.
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Initial-Boundary-Value Problems for the Generalized Time
maximum principle; Fourier method; generalized solution. 1. INTRODUCTION ... problems for these equations were investigated until now. For the methods of ... the third section that the initial-boundary-value problem under consideration ...
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A boundary value technique for boundary value problems for
Singularly perturbed two-point boundary value problems (BVPs) for fourth-order ... To solve nonlinear equations, Newton's method of quasilinearization is applied . ... of the discrete initial value problem and uniform consistency of the scheme. ... for singularly perturbed boundary value problems for second-order, third-order, ...
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Existence and uniqueness of solutions of boundary value problems
THIRD ORDER BOUNDARY VALUE PROBLEMS 433 on [a-i, .] ... with initial value problems having unique solutions and if all w-point boundary value ... if (1) is a linear third order equation and if all two-point boundary value problems have ..... The Method of Lower and Upper Solutions for Second, Third, Fourth, and Higher ...
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Potential theory for initial-boundary value problems of unsteady
For time-dependent problems, integral equation methods are less suc- cessful in ... Third, the dimension of the problem is reduced by one for certain ... the integral equation formulations for general initial-boundary value prob- lems of the ...
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FIVE-POINT BOUNDARY VALUE PROBLEMS FOR THIRD ORDER
of boundary value problems on an interval [a, c] for the third order ordinary ... that solutions of initial value problems for (1) are unique and exist on all of [a, c]. ... Key words and phrases. boundary value problem, ordinary differential equation, solution ... In this paper, we will adapt this matching method to obtain solutions of ...
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Fourth Order Difference Methods for the Initial Boundary-Value
A method utilizing third order uncentered differences at the boundaries is shown ... to the initial boundary-value problem for first order hyperbolic equations, e.g.,.
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Shooting Method via Taylor Series for Solving Two Point Boundary
method was applied to third order two point boundary value problems in an in- .... as in equations (1) and (2) we have the following initial value problems.
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CONTINUOUS FOURTH DERIVATIVE METHOD FOR THIRD
Key Words: third order boundary value problems, fourth derivative method, sandwich problem, Falkner-Skan and Blasius equations. 1. Introduction ...... [8] S. N. Jator and J. Li, An algorithm for second order initial and boundary value problems ...
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Use of Homotopy Perturbation Method for Solving Multi - arXiv.org
nonlinear initial and boundary value problems by combining the standard .... Example 3.1 Consider the following third-order linear differential equation with ...
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Numerical Treatment of Nonlinear Third Order Boundary Value
Keywords:Nonlinear Third Order Boundary Value Problem, Nonpolynomial Quintic Spline, Draining and. Coating Flows. 1. ... described in terms of differential equations with condi- tions imposed at single point (initial/final value prob- lems); while ... computational methods for solving boundary value pro- blems for third-order ...
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Solving Third Order Boundary Value Problem Using Fourth - Hikari
Keywords: Boundary value problem, Linear shooting method, Block method. 1 ... it to the system of first order ordinary differential equations (ODEs). The given ...... with the initial guess, t0 that determines solution of the derivative y′′(a) gives,.
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Developments in Boundary Element Methods for Time-Dependent
value problems allow a reduction to boundary integral equations in a way very ... integral operators arising in the treatment of the standard initial-boundary value .... method"), the third one comes form a single layer representation u = S.
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Solving Boundary Value Problems of Ordinary Differential Equations
Package bvpSolve, solving boundary value problems in R d2y dx2 = f(x, y, dy dx. ) ... This method combines solutions of initial value problems (IVP) with solutions ...
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iterative solution of non-linear boundary-value problems
order boundary-value problems with an initial approximation of a quadratic polynomial ... finite-differences and quadrature methods for solving these problems”. ... a numerical solution of a general third-order differential equation with three ap-.
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SHOOTING METHOD IN SOLVING BOUNDARY VALUE PROBLEM
Keywords: Shooting Method, Boundary Value Problem ,Ode-RK4. 1. INTRODUCTION. In mathematics, in the field of differential equations, an initial value problem (IVP) is an ordinary ... The third chapter is about Nonlinear Shooting. Before the ...
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A boundary value problem for the KdV equation: Comparison of
Jun 18, 2009 ... Keywords: KdV equation; Boundary-value problem; Finite-difference ... [26] p resenting spectral methods for third-order problems with boundary conditions. .... method as t → 0, using the single-soliton initial condition on [−30, ...
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