Analytical solution methods for boundary value problems

Front Cover -- Analytical Solution Methods for Boundary Value Problems -- Copyright -- Contents -- About the Author -- Introduction -- Chapter 1: Exact Solutions of Some Linear Boundary Problems -- 1.1 Analytical Method of Solution of Three-Dimensional Linear Transfer Equations -- Statement of a Problem and a Method Algorithm -- Example of Test Calculation -- 1.2 The Exact Solution of the First Boundary Problem for Three-Dimensional Elliptic Equations -- Statement of a Problem and a Method Algorithm -- Application of Integrated Laplace Transformation -- Examples of Test Calculation.

Chapter 2: Method of Solution of Nonlinear Transfer Equations -- 2.1 Method of Solution of One-Dimensional Nonlinear Transfer Equations -- Statement of a Problem and a Method Algorithm -- Existence, Uniqueness, and Convergence -- Existence -- Uniqueness -- Estimation of Speed of Convergence [32] -- Example of Test Calculation -- 2.2 Algorithm of Solution of Three-Dimensional Nonlinear Transfer Equations -- Statement of a Problem and a Method Algorithm -- Existence, Uniqueness, and Convergence -- Estimation of Speed of Convergence [36] -- Results of Test Checks.

Chapter 3: Method of Solution of Nonlinear Boundary Problems -- 3.1 Method of Solution of Nonlinear Boundary Problems -- Statement of a Problem and a Method Algorithm -- Existence, Uniqueness, and Convergence -- Estimation of Speed of Convergence [15, 16] -- Results of Test Checks -- 3.2 Method of Solution of Three-Dimensional Nonlinear First Boundary Problem -- Statement of a Problem and a Method Algorithm -- Existence, Uniqueness, and Convergence -- Results of Test Checks -- 3.3 Method of Solution of Three-Dimensional Nonlinear Boundary Problems for Parabolic Equation of General Type.