Computational methods in engineering boundary value problems / T. Y. Na.

Format:

Book

Author/Creator:

Na, T. Y.

Series:

Mathematics in science and engineering ; v. 145.

Mathematics in science and engineering ; v. 145

Language:

English

Subjects (All):

Boundary value problems--Numerical solutions.

Boundary value problems.

Mathematical physics.

Physical Description:

1 online resource (321 p.)

Place of Publication:

New York : Academic Press, 1979.

Language Note:

English

Summary:

Computational methods in engineering boundary value problems

Contents:

Front Cover; Computational Methods in Engineering Boundary Value Problems; Copyright Page; Contents; Preface; Chapter 1. Introduction; 1.1 Introduction; 1.2 Methods of Solution; 1.3 Numerical Integration of Initial Value Problems; 1.4 Concluding Remarks; References; Chapter 2. Method of Superposition; 2.1 Introduction; 2.2 Reduction of Linear Boundary Value Problems to Initial Value Problems; 2.3 Reduction of Third-Order Boundary Value Problems to Initial Value Problems; 2.4 Concluding Remarks; Problems; References; Chapter 3. Method of Chasing; 3.1 Introduction

3.2 Derivation of Equations of Chasing By Jones-Second-Order Differential Equations3.3 Application of the Method; 3.4 Third-Order Differential Equations; 3.5 Concluding Remarks; Problems; References; Chapter 4. The Adjoint Operator Method; 4.1 Introduction; 4.2 Second-Order Differential Equations; 4.3 Third-Order Differential Equations; 4.4 Concluding Remarks; Problems; References; Chapter 5. Iterative Methods-The Shooting Methods; 5.1 Introduction; 5.2 Newton's Method; 5.3 Parallel Shooting; 5.4 Quasi Linearization; 5.5 Concluding Remarks; Problems; References

Chapter 6. Iterative Methods-The Finite-Difference Method6.1 Introduction; 6.2 Finite Differences; 6.3 Solution of Boundary Value Problems by Finite Difference; 6.4 Second-Order Differential Equations; 6.5 Third-Order Differential Equations; 6.6 First-Order System and Newton's Method; 6.7 Concluding Remarks; Problems; References; Chapter 7. Method of Transformation-Direct Transformation; 7.1 Introduction; 7.2 Transformation for a Given Group of Transformations; 7.3 Extension of the Transformation Method for a Given Group of Transformations; 7.4 Uniqueness of the Solution; Problems; References

Chapter 8. Method of Transformation-Reduced Physical Parameters8.1 Introduction; 8.2 Reduced Physical Parameters; 8.3 Application to Simultaneous Differential Equations; 8.4 Application to an Eigenvalue Problem; 8.5 Concluding Remarks; Problems; References; Chapter 9. Method of Transformation-Invariance of Physical Parameters; 9.1 Introduction; 9.2 Boundary Value Problem with Two or More Parameters; 9.3 Systematic Search of Multiple Solutions; 9.4 Thin Struts with Large Elastic Displacement; Problems; References; Chapter 10. Method of Parameter Differentiation; 10.1 Introduction

10.2 Nonlinear Algebraic Equations10.3 Parameter Differentiation Applied to Differential Equations; 10.4 Application to Simultaneous Equations; 10.5 The General Parameter Mapping (GPM) of Kubicek and Hlavecek; 10.6 Method of Continuation of Roberts and Shipman; 10.7 Concluding Remarks; Problems; References; Chapter 11. Method of Invariant Imbedding; 11.1 Introduction; 11.2 Concept of Invariant Imbedding; 11.3 Isothermal Packed-Bed Chemical Reactor; 11.4 Radiation Fins; 11.5 Solution of Falkner-Skan Equation; 11.6 Concluding Remarks; Problems; References; Chapter 12. Integral Equation Method

12.1 Introduction

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

ISBN:

1-282-28903-9

9786612289033

0-08-095653-X

OCLC:

316549575