First Course In Integral Equations, A | WorldCat.org (original) (raw)

Summary:The second edition of A First Course in Integral Equations integrates the newly developed methods with classical techniques to give modern and robust approaches for solving integral equations.

eBook, English, 2015

Publisher: World Scientific Publishing Company, Singapore, 2015

Physical Description:1 online resource (185 pages)

ISBN:

9789814675161, 9814675164

OCLC Number / Unique Identifier:1020691303

Additional Physical Form Entry:

Contents:

Intro; Contents; Preface; 1 Introductory Concepts; 1.2 Classification of Linear Integral Equations; 1.3 Solution of an Integral Equation; 1.4 Converting Volterra Equation to an ODE; 1.5 Converting IVP to Volterra Equation; 1.6 Converting BVP to Fredholm Equation; 1.7 Taylor Series; 2 Fredholm Integral Equations; 2.2 Adomian Decomposition Method; 2.3 The Variational Iteration Method; 2.4 The Direct Computation Method; 2.5 Successive Approximations Method; 2.6 Successive Substitutions Method; 2.8 Homogeneous Fredholm Equation; 2.9 Fredholm Integral Equation of the First Kind 3 Volterra Integral Equations3.2 Adomian Decomposition Method; 3.3 The Variational Iteration Method; 3.4 The Series Solution Method; 3.5 Converting Volterra Equation to IVP; 3.6 Successive Approximations Method; 3.7 Successive Substitutions Method; 3.9 Volterra Equations of the First Kind; 4 Fredholm Integro-Differential Equations; 4.3 The Direct Computation Method; 4.4 The Adomian Decomposition Method; 4.5 The Variational Iteration Method; 4.6 Converting to Fredholm Integral Equations; 5 Volterra Integro-Differential Equations; 5.3 The Series Solution Method 5.4 The Adomian Decomposition Method5.5 The Variational Iteration Method; 5.6 Converting to Volterra Equations; 5.7 Converting to Initial Value Problems; 5.8 The Volterra Integro-Differential Equations of the First Kind; 6 Singular Integral Equations; 6.2 Abel's Problem; 6.3 Generalized Abel's Problem; 6.4 The Weakly Singular Volterra Equations; 6.5 The Weakly Singular Fredholm Equations; 7 Nonlinear Fredholm Integral Equations; 7.2 Nonlinear Fredholm Integral Equations; 7.2.1 The Direct Computation Method; 7.2.2 The Adomian Decomposition Method; 7.2.3 The Variational Iteration Method 7.3 Nonlinear Fredholm Integral Equations of the First Kind7.4 Weakly-Singular Nonlinear Fredholm Integral Equations; 8 Nonlinear Volterra Integral Equations; 8.2 Nonlinear Volterra Integral Equations; 8.2.1 The Series Solution Method; 8.2.2 The Adomian Decomposition Method; 8.2.3 The Variational Iteration Method; 8.3 Nonlinear Volterra Integral Equations of the First Kind; 8.3.1 The Series Solution Method; 8.3.2 Conversion to a Volterra Equation of the Second Kind; 8.4 Nonlinear Weakly-Singular Volterra Equation