Dr. William E. Schiesser is Emeritus McCann Professor of Chemical and Biomolecular Engineering, and Professor of Mathematics at Lehigh University. He holds a PhD from Princeton University and a ScD (hon) from the University of Mons, Belgium. His research is directed toward numerical methods and associated software for ordinary, differential-algebraic and partial differential equations (ODE/DAE/PDEs), and the development of mathematical models based on ODE/DAE/PDEs. He is the author or coauthor of more than 16 books, and his ODE/DAE/PDE computer routines have been accessed by some 5,000 colleges and universities, corporations, and government agencies.

• 1. Traveling wave, residual function methods for analytical solutions to PDEs;2. Linear advection equation;3. Linear diusion equation;4. Linear convection diusion reaction equation;5. Diusion equation with nonlinear source terms;6. Burgers-Huxley equation;7. Burgers-Fisher equation;8. Fisher-Kolmogorov equation;9. Fitzhugh-Nagumo equation;10. Fisher-Kolmogorov-Petrovskii-Piskunov equation;11. Kuramoto-Sivashinsky equation;12. Kawahara equation;13. Benjamin-Bona-Mahoney (RLW) equation;14. Extended Bernoulli equation;15. Hyperbolic Liouville equation;16. Sine-Gordon equation;17. Mth order Klein-Gordon equation;18. Boussinesq equation;19. Modied wave equation;20. Appendix 1 - Analytical solution methods for traveling wave problems;

"This book surveys some of the new developments in analytical and numerical computer solution methods for partial differential equations with applications to physical, chemical, and biological problems. The development of analytical solutions directly supports the development of numerical methods by providing a spectrum of test problems that can be used to evaluate numerical methods." --Zentralblatt MATH 1228-1

Dr. William E. Schiesser is Emeritus McCann Professor of Chemical and Biomolecular Engineering, and Professor of Mathematics at Lehigh University. He holds a PhD from Princeton University and a ScD (hon) from the University of Mons, Belgium. His research is directed toward numerical methods and associated software for ordinary, differential-algebraic and partial differential equations (ODE/DAE/PDEs), and the development of mathematical models based on ODE/DAE/PDEs. He is the author or coauthor of more than 16 books, and his ODE/DAE/PDE computer routines have been accessed by some 5,000 colleges and universities, corporations, and government agencies.

• 1. Traveling wave, residual function methods for analytical solutions to PDEs;2. Linear advection equation;3. Linear diusion equation;4. Linear convection diusion reaction equation;5. Diusion equation with nonlinear source terms;6. Burgers-Huxley equation;7. Burgers-Fisher equation;8. Fisher-Kolmogorov equation;9. Fitzhugh-Nagumo equation;10. Fisher-Kolmogorov-Petrovskii-Piskunov equation;11. Kuramoto-Sivashinsky equation;12. Kawahara equation;13. Benjamin-Bona-Mahoney (RLW) equation;14. Extended Bernoulli equation;15. Hyperbolic Liouville equation;16. Sine-Gordon equation;17. Mth order Klein-Gordon equation;18. Boussinesq equation;19. Modied wave equation;20. Appendix 1 - Analytical solution methods for traveling wave problems;

"This book surveys some of the new developments in analytical and numerical computer solution methods for partial differential equations with applications to physical, chemical, and biological problems. The development of analytical solutions directly supports the development of numerical methods by providing a spectrum of test problems that can be used to evaluate numerical methods." --Zentralblatt MATH 1228-1

Dr. William E. Schiesser is Emeritus McCann Professor of Chemical and Biomolecular Engineering, and Professor of Mathematics at Lehigh University. He holds a PhD from Princeton University and a ScD (hon) from the University of Mons, Belgium. His research is directed toward numerical methods and associated software for ordinary, differential-algebraic and partial differential equations (ODE/DAE/PDEs), and the development of mathematical models based on ODE/DAE/PDEs. He is the author or coauthor of more than 16 books, and his ODE/DAE/PDE computer routines have been accessed by some 5,000 colleges and universities, corporations, and government agencies.

• 1. Traveling wave, residual function methods for analytical solutions to PDEs;2. Linear advection equation;3. Linear diusion equation;4. Linear convection diusion reaction equation;5. Diusion equation with nonlinear source terms;6. Burgers-Huxley equation;7. Burgers-Fisher equation;8. Fisher-Kolmogorov equation;9. Fitzhugh-Nagumo equation;10. Fisher-Kolmogorov-Petrovskii-Piskunov equation;11. Kuramoto-Sivashinsky equation;12. Kawahara equation;13. Benjamin-Bona-Mahoney (RLW) equation;14. Extended Bernoulli equation;15. Hyperbolic Liouville equation;16. Sine-Gordon equation;17. Mth order Klein-Gordon equation;18. Boussinesq equation;19. Modied wave equation;20. Appendix 1 - Analytical solution methods for traveling wave problems;

"This book surveys some of the new developments in analytical and numerical computer solution methods for partial differential equations with applications to physical, chemical, and biological problems. The development of analytical solutions directly supports the development of numerical methods by providing a spectrum of test problems that can be used to evaluate numerical methods." --Zentralblatt MATH 1228-1