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Exact and Truncated Difference Schemes for Boundary Value ODEs

The book provides a comprehensive introduction to compact finite difference methods for solving boundary value ODEs with high accuracy. The;

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Exact Finite-Difference Schemes

to construct NSFD discretizations of differential equations Exact and truncated difference schemes for boundary-value problem Exact;

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Differential Equation Solutions with MATLAB (R)

schemes for ODEs. Boundary value ODEs, fractional-order ODEs and partial differential equations are also discussed.;

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Difference Methods for Singular Perturbation Problems

value problems. It justifies the -uniform convergence of these schemes and surveys the latest approaches important for further progress;

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The Theory of Difference Schemes

The Theory of Difference Schemes emphasizes solutions to boundary value problems through multiple difference schemes. It addresses the;

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Well-Posedness of Parabolic Difference Equations

schemes. Modern computers allow the implementation of highly accurate ones; hence, their construction and investigation for various boundary value;

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Advanced Mathematical Methods in Science and Engineering

value problems for physical systems in one spatial dimension governed by ODEs. It also covers complex variables, calculus, and integrals; linear;

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Numerical Schemes for Conservation Laws

This book systematically studies upwind methods for initial value problems for scalar conservation laws in one- and multidimensions. The;

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Nonstandard Finite Difference Schemes

illustrating just how this should be done.Of real value to the reader is the inclusion of a chapter listing many exact difference schemes, and a;

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Boundary Value Problems for Systems of Differential, Difference and Fractional Equations

Boundary Value Problems for Systems of Differential, Difference and Fractional Equations: Positive Solutions discusses the concept;

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A First Course in Ordinary Differential Equations

of Runge-Kutta methods for solving initial-value problems and shooting methods for linear two-point boundary-value problems are considered. The;

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Applications of Lie Groups to Difference Equations

difference schemes for nonlinear differential equations. A guide to methods and results in a new area of application of Lie groups to difference;

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Applications of Lie Groups to Difference Equations

difference schemes for nonlinear differential equations. A guide to methods and results in a new area of application of Lie groups to difference;

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Analytical Solution Methods for Boundary Value Problems

Analytical Solution Methods for Boundary Value Problems is an extensively revised, new English language edition of the original 2011;

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Derivatives and Internal Models

precise mathematical expression and comprehensively covering all relevant topics using consistent and exact notation. In this new edition, Deutsch;

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Applied Differential Equations with Boundary Value Problems

Applied Differential Equations with Boundary Value Problems presents a contemporary treatment of ordinary differential equations (ODEs) and;

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Applied Differential Equations with Boundary Value Problems

Applied Differential Equations with Boundary Value Problems presents a contemporary treatment of ordinary differential equations (ODEs) and;

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Multiple Solutions Of Boundary Value Problems

of boundary value problems for ordinary, impulsive, and partial differential equations as well as for difference equations. In this monograph, we look;

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Boundary Synchronization for Hyperbolic Systems

corresponding to Dirichlet, Neumann, and coupled Robin boundary controls. Each part is then subdivided into chapters detailing exact boundary;

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Computational Aerodynamics and Fluid Dynamics: An Introduction

The book gives the reader the basis for understanding the way numerical schemes achieve accurate and stable simulations of physical;

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Green's Functions and Linear Differential Equations

Green's function method, which is used to solve initial and boundary value problems involving linear ODEs and PDEs. It also contains a large;

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Numerical Methods in Computational Finance

(FDM) Chapters 14 to 17 introduce the mathematical background to the finite difference method for initial boundary value problems for;

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Mathematical Modelling and Simulation in Chemical Engineering

including nonlinear algebraic equations, initial value ordinary differential equations (ODEs) and boundary value ODEs are discussed in detail. The;

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A Compendium of Partial Differential Equation Models

authors focus on the method of lines (MOL), a well-established procedure for all major classes of PDEs, where the boundary value partial;

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Optimal Boundary Control and Boundary Stabilization of Hyperbolic Systems

which the author explores initial boundary value problems, concepts of exact controllability, optimal exact control, and boundary stabilization;

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Conduction of Heat in Solids

boundary value problems.;

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Mixed Boundary Value Problems

Methods for Solving Mixed Boundary Value Problems An up-to-date treatment of the subject, Mixed Boundary Value Problems focuses on;

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