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initial-boundary value problems

On explicit and numerical solvability of parabolic initial-boundary value problems

On explicit and numerical solvability of parabolic initial-boundary value problems

... natural for solvability of parabolic initial-boundary value problems. These spaces as well as the solvability have been investigated by Slobodecki˘ı [9], Agranoviˇc and Viˇsik [1], V. A. ...

12

Green’s function homotopy perturbation method for the initial boundary value problems

Green’s function homotopy perturbation method for the initial boundary value problems

... The main objective of this article is to propose a novel method for finding solutions for the initial-boundary value problems (IBVPs), which is called the Sawangtong’s Green function homotopy ...

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Numerical Treatment of Initial Boundary Value Problems with Mixed Boundary Conditions

Numerical Treatment of Initial Boundary Value Problems with Mixed Boundary Conditions

... solve boundary value problems and initial boundary value problems with mixed boundary condi- tions for linear and nonlinear partial differential ...

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Homotopy Perturbation Method for Solving Some Initial Boundary Value Problems with Non Local Conditions

Homotopy Perturbation Method for Solving Some Initial Boundary Value Problems with Non Local Conditions

... diversified initial boundary value problems with non local boundary ...contact problems which arise in mathematical and engineering ...

6

A Uniqueness Theorem for Initial-Boundary Value Problems in Tellegen Medium

A Uniqueness Theorem for Initial-Boundary Value Problems in Tellegen Medium

... As it will be stated later, t and r represent the time and the position vector. E( r, t), D( r, t), B ( r, t), H( r, t) are used to denote the electric field, the electric flux density, the magnetic flux density, and the ...

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Monotone Method for Nonlinear First-order Hyperbolic Initial-boundary Value Problems of Moving Boundary

Monotone Method for Nonlinear First-order Hyperbolic Initial-boundary Value Problems of Moving Boundary

... Moving boundary problems arise in many important applications to biology and ...fixed boundary problem, moving boundary problem is more ...moving boundary for nonlinear first-order ...

10

Initial boundary value problems for second order parabolic systems in cylinders with polyhedral base

Initial boundary value problems for second order parabolic systems in cylinders with polyhedral base

... Boundary value problems for partial differential equations and systems in nonsmooth domains have been attracted attentions of many mathematicians for more than last 50 ...with initial ...

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On Initial Boundary Value Problems with Equivalued Surface for Nonlinear Parabolic Equations

On Initial Boundary Value Problems with Equivalued Surface for Nonlinear Parabolic Equations

... to initial boundary value problems with equivalued surface for nonlinear parabolic equations, discuss the existence and uniqueness of renormalized solution, and give the relation between ...

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Finite-Difference Scheme for Initial Boundary Value Problems in Financial Mathematics

Finite-Difference Scheme for Initial Boundary Value Problems in Financial Mathematics

... In the theory of difference schemes [8], the maximum principle is of great interest. In particular, it is used to study the stability and convergence of a difference solution on a uniform norm. Computational methods that ...

8

Numerical analysis via Chebyshev pseudospectral method for nonlinear initial/boundary value problems

Numerical analysis via Chebyshev pseudospectral method for nonlinear initial/boundary value problems

... In this section, the numerical results obtained by using Chebyshev collocation method for the present physical models shall be validated through comparisons with the available exact or a[r] ...

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Spatial estimates for a class of hyperbolic equations with nonlinear dissipative boundary conditions

Spatial estimates for a class of hyperbolic equations with nonlinear dissipative boundary conditions

... of initial -boundary value problems in semi-infinite domains with nonlinearities on the boundary have been stu- died by many ...nonlinear boundary con- ditions are imposed on the ...

9

Boundary-value Problems with Non-local Initial Condition for Parabolic Equations with Parameter

Boundary-value Problems with Non-local Initial Condition for Parabolic Equations with Parameter

... equations. Boundary-value problems with initial non-local condition for model parabolic equations were studied by ...non-local problems for mixed type equations containing parabolic ...

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Numerical Solution for Initial and Boundary Value Problems of Fractional Order

Numerical Solution for Initial and Boundary Value Problems of Fractional Order

... The fractional calculus is a name for the theory of integrals and derivatives of arbitrary order, which unifies and generalizes the notions of integer-order diffe- rentiation and n-fold integration [16] [17]. There are ...

14

Direct Integration of Fourth Order Initial and Boundary Value Problems using Nyström Type Methods

Direct Integration of Fourth Order Initial and Boundary Value Problems using Nyström Type Methods

... linear problems and F indRoot[ ] for nonlinear problems ...solve initial value problems (IVPs) in a block-by-block fashion as well as applied to solve boundary value ...

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Elementary Differential Equations with Boundary Value Problems

Elementary Differential Equations with Boundary Value Problems

... In Section 3.1 we saw that the global truncation error of Euler’s method is O(h), which would seem to imply that we can achieve arbitrarily accurate results with Euler’s method by simply choosing the step size ...

806

Numerical Results of Some Initial and Boundary Value Problems in Mechanics

Numerical Results of Some Initial and Boundary Value Problems in Mechanics

... Many researchers have used Variation Iteration Method (VIM) to find numerical solutions to different types of differential equations. In [OGA10], Olayiwola et al. proposed a modification of VIM to improve its ...

8

On Opial's type inequalities for an integral operator with homogeneous kernel

On Opial's type inequalities for an integral operator with homogeneous kernel

... Opial’s inequality and its generalizations, extensions, and discretizations play an important role in establishing the existence and uniqueness of initial and boundary value problems for ...

5

Solutions of initial and boundary value problems via F-contraction mappings in metric-like space

Solutions of initial and boundary value problems via F-contraction mappings in metric-like space

... Many work have been done in this direction, (see, for example, [8, 9, 12, 13, 15]). In this paper, we introduce the notion of rational ´ Ciri´ c type generalized F -contraction and F - Suzuki contraction in a metric-like ...

17

On singular nonlinear distributional and impulsive initial and boundary value problems

On singular nonlinear distributional and impulsive initial and boundary value problems

... equations, initial and boundary conditions and impulses may depend function- ally on the unknown function and/or on its derivatives, and may contain discontinuous ...Concrete problems are solved to ...

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On the uniqueness of singular solutions to boundary initial value problems in linear elastodynamics

On the uniqueness of singular solutions to boundary initial value problems in linear elastodynamics

... Working within the framework of the linearized dynamical theory of thermoelasticity, Dafermos [9 J established the existence, uniqueness and asymptotic stability of "generalized solution[r] ...

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