#### Get Citation

Finite Difference Methods in Heat Transfer presents a clear, step-by-step delineation of finite difference methods for solving engineering problems governed by ordinary and partial differential equations, with emphasis on heat transfer applications. The finite difference techniques presented apply to the numerical solution of problems governed by similar differential equations encountered in many other fields. Fundamental concepts are introduced in an easy-to-follow manner.

Representative examples illustrate the application of a variety of powerful and widely used finite difference techniques. The physical situations considered include the steady state and transient heat conduction, phase-change involving melting and solidification, steady and transient forced convection inside ducts, free convection over a flat plate, hyperbolic heat conduction, nonlinear diffusion, numerical grid generation techniques, and hybrid numerical-analytic solutions.

Preface

Basic Relations

Discrete Approximation of Derivatives

Methods of Solving Sets of Algebraic Equations

One-Dimensional Steady-State Systems

One-Dimensional Parabolic Systems

Multidimensional Parabolic Systems

Elliptic Systems

Hyperbolic Systems

Nonlinear Diffusion

Phase Change Problems

Numerical Grid Generation

Hybrid Numerical-Analytic Solutions

References

Appendices: Subroutine Gauss

Subroutine Trisol

Subroutine SOR

Program to Solve Example 10-1

Discretization Formula

Index.

Finite Difference Methods in Heat Transfer presents a clear, step-by-step delineation of finite difference methods for solving engineering problems governed by ordinary and partial differential equations, with emphasis on heat transfer applications. The finite difference techniques presented apply to the numerical solution of problems governed by similar differential equations encountered in many other fields. Fundamental concepts are introduced in an easy-to-follow manner.

Representative examples illustrate the application of a variety of powerful and widely used finite difference techniques. The physical situations considered include the steady state and transient heat conduction, phase-change involving melting and solidification, steady and transient forced convection inside ducts, free convection over a flat plate, hyperbolic heat conduction, nonlinear diffusion, numerical grid generation techniques, and hybrid numerical-analytic solutions.

Preface

Basic Relations

Discrete Approximation of Derivatives

Methods of Solving Sets of Algebraic Equations

One-Dimensional Steady-State Systems

One-Dimensional Parabolic Systems

Multidimensional Parabolic Systems

Elliptic Systems

Hyperbolic Systems

Nonlinear Diffusion

Phase Change Problems

Numerical Grid Generation

Hybrid Numerical-Analytic Solutions

References

Appendices: Subroutine Gauss

Subroutine Trisol

Subroutine SOR

Program to Solve Example 10-1

Discretization Formula

Index.

Finite Difference Methods in Heat Transfer presents a clear, step-by-step delineation of finite difference methods for solving engineering problems governed by ordinary and partial differential equations, with emphasis on heat transfer applications. The finite difference techniques presented apply to the numerical solution of problems governed by similar differential equations encountered in many other fields. Fundamental concepts are introduced in an easy-to-follow manner.

Representative examples illustrate the application of a variety of powerful and widely used finite difference techniques. The physical situations considered include the steady state and transient heat conduction, phase-change involving melting and solidification, steady and transient forced convection inside ducts, free convection over a flat plate, hyperbolic heat conduction, nonlinear diffusion, numerical grid generation techniques, and hybrid numerical-analytic solutions.

Preface

Basic Relations

Discrete Approximation of Derivatives

Methods of Solving Sets of Algebraic Equations

One-Dimensional Steady-State Systems

One-Dimensional Parabolic Systems

Multidimensional Parabolic Systems

Elliptic Systems

Hyperbolic Systems

Nonlinear Diffusion

Phase Change Problems

Numerical Grid Generation

Hybrid Numerical-Analytic Solutions

References

Appendices: Subroutine Gauss

Subroutine Trisol

Subroutine SOR

Program to Solve Example 10-1

Discretization Formula

Index.

Preface

Basic Relations

Discrete Approximation of Derivatives

Methods of Solving Sets of Algebraic Equations

One-Dimensional Steady-State Systems

One-Dimensional Parabolic Systems

Multidimensional Parabolic Systems

Elliptic Systems

Hyperbolic Systems

Nonlinear Diffusion

Phase Change Problems

Numerical Grid Generation

Hybrid Numerical-Analytic Solutions

References

Appendices: Subroutine Gauss

Subroutine Trisol

Subroutine SOR

Program to Solve Example 10-1

Discretization Formula

Index.

Preface

Basic Relations

Discrete Approximation of Derivatives

Methods of Solving Sets of Algebraic Equations

One-Dimensional Steady-State Systems

One-Dimensional Parabolic Systems

Multidimensional Parabolic Systems

Elliptic Systems

Hyperbolic Systems

Nonlinear Diffusion

Phase Change Problems

Numerical Grid Generation

Hybrid Numerical-Analytic Solutions

References

Appendices: Subroutine Gauss

Subroutine Trisol

Subroutine SOR

Program to Solve Example 10-1

Discretization Formula

Index.

Preface

Basic Relations

Discrete Approximation of Derivatives

Methods of Solving Sets of Algebraic Equations

One-Dimensional Steady-State Systems

One-Dimensional Parabolic Systems

Multidimensional Parabolic Systems

Elliptic Systems

Hyperbolic Systems

Nonlinear Diffusion

Phase Change Problems

Numerical Grid Generation

Hybrid Numerical-Analytic Solutions

References

Appendices: Subroutine Gauss

Subroutine Trisol

Subroutine SOR

Program to Solve Example 10-1

Discretization Formula

Index.