| Description |
1 online resource (97 p.) |
| Series |
Mathematical Engineering, Manufacturing, and Management Sciences Ser |
|
Mathematical Engineering, Manufacturing, and Management Sciences Ser
|
| Contents |
Intro -- Half Title -- Series Page -- Title Page -- Copyright Page -- Contents -- Acknowledgements -- Preface -- Authors -- 1. Introduction of Partial Differential Equations -- 1.1. Partial Differential Equations -- 1.2. Formation of Partial Differential Equations -- 1.3. Solution of Partial Differential Equations -- 1.3.1. Direct Integration Method to Solve Partial Differential Equations -- Exercises -- Answers -- 2. First-Order Partial Differential Equations -- 2.1. Linear First-Order Partial Differential Equations -- 2.1.1. Lagrange's Linear Equation of the First Order |
|
2.2. Non-Linear First-Order Partial Differential Equations -- 2.2.1. Charpit Method -- 2.2.2. Special Types of First-Order Partial Differential Equations -- Exercises -- Answers -- 3. Second- and Higher-Order Linear Partial Differential Equations -- 3.1. Homogeneous Linear Partial Differential Equations with Constant Coefficients -- 3.2. Classification of Second-Order Linear Partial Differential Equations -- 3.3. Method of Separation of Variables -- Exercises -- Answers -- 4. Applications of Partial Differential Equations -- 4.1. One-Dimensional Wave Equation |
|
4.1.1. The Solution of the Wave Equation by Separation of Variables -- 4.1.2. D'Alemberts' Solution of the Wave Equation -- 4.1.3. Duhamel's Principle for the One-Dimensional Wave Equation -- 4.2. One-Dimensional Heat Equation -- 4.3. Laplace's Equation -- 4.3.1. Laplacian in Cylindrical Coordinates -- 4.3.2. Laplacian in Spherical Coordinates -- Exercises -- Answers -- Multiple-Choice Questions -- Fill in the Blanks -- Bibliography -- Index |
| Notes |
Description based upon print version of record |
| Form |
Electronic book
|
| Author |
Jani, Mrudul Y
|
| ISBN |
9781000337280 |
|
1000337286 |
|
