TY - CHAP A1 - Cíntia Gonçalves Machado A2 - Albert C. Reynolds ED1 - İlkay Bakırtaş Y1 - 2018-10-17 PY - 2018 T1 - Application of the Method of Matched Asymptotic Expansions to Solve a Nonlinear Pseudo-Parabolic Equation: The Saturation Convection-Dispersion Equation N2 - The governing equations of mathematical, chemical, biological, mechanical and economical models are often nonlinear and too complex to be solved analytically. Perturbation theory provides effective tools for obtaining approximate analytical solutions to a wide variety of such nonlinear problems, which may include differential or difference equations. In this book, we aim to present the recent developments and applications of the perturbation theory for treating problems in applied mathematics, physics and engineering. The eight chapters cover a variety of topics related to perturbation methods. The book is intended to draw attention of researchers and scientist in academia and industry. BT - Perturbation Methods with Applications in Science and Engineering SP - Ch. 7 UR - https://doi.org/10.5772/intechopen.76828 DO - 10.5772/intechopen.76828 SN - 978-1-78984-256-2 PB - IntechOpen CY - Rijeka Y2 - 2021-11-28 ER -