Page 9 - Applied Numerical Methods Using MATLAB

CONTENTS xi
9.2.3 The Crank–Nicholson Method / 409
9.2.4 Two-Dimensional Parabolic PDE / 412
9.3 Hyperbolic PDE / 414
9.3.1 The Explicit Central Difference Method / 415
9.3.2 Two-Dimensional Hyperbolic PDE / 417
9.4 Finite Element Method (FEM) for solving PDE / 420
9.5 GUI of MATLAB for Solving PDEs: PDETOOL / 429
9.5.1 Basic PDEs Solvable by PDETOOL / 430
9.5.2 The Usage of PDETOOL / 431
9.5.3 Examples of Using PDETOOL to Solve PDEs / 435
Problems / 444

Appendix A. Mean Value Theorem 461
Appendix B. Matrix Operations/Properties 463

Appendix C. Differentiation with Respect to a Vector 471

Appendix D. Laplace Transform 473
Appendix E. Fourier Transform 475

Appendix F. Useful Formulas 477
Appendix G. Symbolic Computation 481

Appendix H. Sparse Matrices 489

Appendix I. MATLAB 491
References 497

Subject Index 499
Index for MATLAB Routines 503

Index for Tables 509