Spline Collocation Analysis of Partial Differential Equations.
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| Online Access: |
Full Text (via ProQuest) |
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| Format: | eBook |
| Language: | English |
| Published: |
Newark :
John Wiley & Sons, Incorporated,
2017.
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Table of Contents:
- Cover; Title Page; Copyright; Dedication; Contents; Preface; About the Companion Website; Chapter 1 Introduction; 1.1 Uniform Grids; 1.2 Variable Grids; 1.3 Stagewise Differentiation; Appendix A1
- Online Documentation for splinefun; Reference; Chapter 2 One-Dimensional PDEs; 2.1 Constant Coefficient; 2.1.1 Dirichlet BCs; 2.1.1.1 Main Program; 2.1.1.2 ODE Routine; 2.1.2 Neumann BCs; 2.1.2.1 Main Program; 2.1.2.2 ODE Routine; 2.1.3 Robin BCs; 2.1.3.1 Main Program; 2.1.3.2 ODE Routine; 2.1.4 Nonlinear BCs; 2.1.4.1 Main Program; 2.1.4.2 ODE Routine; 2.2 Variable Coefficient; 2.2.1 Main Program.
- 2.2.2 ODE Routine2.3 Inhomogeneous, Simultaneous, Nonlinear; 2.3.1 Main Program; 2.3.2 ODE routine; 2.3.3 Subordinate Routines; 2.4 First Order in Space and Time; 2.4.1 Main Program; 2.4.2 ODE Routine; 2.4.3 Subordinate Routines; 2.5 Second Order in Time; 2.5.1 Main Program; 2.5.2 ODE Routine; 2.5.3 Subordinate Routine; 2.6 Fourth Order in Space; 2.6.1 First Order in Time; 2.6.1.1 Main Program; 2.6.1.2 ODE Routine; 2.6.2 Second Order in Time; 2.6.2.1 Main Program; 2.6.2.2 ODE Routine; References; Chapter 3 Multidimensional PDEs; 3.1 2D in Space; 3.1.1 Main Program; 3.1.2 ODE Routine.
- 3.2 3D in Space3.2.1 Main Program, Case 1; 3.2.2 ODE Routine; 3.2.3 Main Program, Case 2; 3.2.4 ODE Routine; 3.3 Summary and Conclusions; Chapter 4 Navier-Stokes, Burgers' Equations; 4.1 PDE Model; 4.2 Main Program; 4.3 ODE Routine; 4.4 Subordinate Routine; 4.5 Model Output; 4.6 Summary and Conclusions; Reference; Chapter 5 Korteweg-de Vries Equation; 5.1 PDE Model; 5.2 Main Program; 5.3 ODE Routine; 5.4 Subordinate Routines; 5.5 Model Output; 5.6 Summary and Conclusions; References; Chapter 6 Maxwell Equations; 6.1 PDE Model; 6.2 Main Program; 6.3 ODE Routine; 6.4 Model Output.
- 6.5 Summary and ConclusionsAppendix A6.1. Derivation of the Analytical Solution; Reference; Chapter 7 Poisson-Nernst-Planck Equations; 7.1 PDE Model; 7.2 Main Program; 7.3 ODE Routine; 7.4 Model Output; 7.5 Summary and Conclusions; References; Chapter 8 Fokker-Planck Equation; 8.1 PDE Model; 8.2 Main Program; 8.3 ODE Routine; 8.4 Model Output; 8.5 Summary and Conclusions; References; Chapter 9 Fisher-Kolmogorov Equation; 9.1 PDE Model; 9.2 Main Program; 9.3 ODE Routine; 9.4 Subordinate Routine; 9.5 Model Output; 9.6 Summary and Conclusions; Reference; Chapter 10 Klein-Gordon Equation.
- 10.1 PDE Model, Linear Case10.2 Main Program; 10.3 ODE Routine; 10.4 Model Output; 10.5 PDE Model, Nonlinear Case; 10.6 Main Program; 10.7 ODE Routine; 10.8 Subordinate Routines; 10.9 Model Output; 10.10 Summary and Conclusions; Reference; Chapter 11 Boussinesq Equation; 11.1 PDE Model; 11.2 Main Program; 11.3 ODE Routine; 11.4 Subordinate Routines; 11.5 Model Output; 11.6 Summary and Conclusions; References; Chapter 12 Cahn-Hilliard Equation; 12.1 PDE Model; 12.2 Main Program; 12.3 ODE Routine; 12.4 Model Output; 12.5 Summary and Conclusions; References; Chapter 13 Camassa-Holm Equation.