Decomposition analysis method in linear and nonlinear differential equations

Description

Content: Decomposition Method Introduction Partial Solutions of a Partial Differential Equation A Review on the Convergence of the Decomposition MethodAsymptotic Decomposition Introduction Application of Asymptotic Decomposition Bessel's EquationIntroduction Solution of Bessel's General Equation by Modified Decomposition Second Solution of Bessel's Equation by Regular Decomposition Pulsatile Flow of Fluid in a Rigid Tube Periodic Motion of a Visco-Elastic Fluid in a Rigid Tube Tidal Waves in a Channel Open to the Sea Temperature Distribution in an Infinitely Long Circular Cylinder Navier-Stokes Equations in Cartesian CoordinatesIntroduction Equations of Motion Steady Laminar Flow of Viscous Fluid through a Tube of an Elliptic Cross Section Stokes's First Problem: The Suddenly Accelerated Plane Wall Stokes's Second Problem: The Flow Near an Oscillating Flat Plate Unsteady Flow of Viscous Incompressible Fluid between Two Parallel PlatesPulsatile Flow between Two Parallel Plates Navier-Stokes Equations in Cylindrical Polar Coordinates Introduction Equations of Motion Hagen-Poiseuille Theory: The Steady Laminar Flow of Fluid through a Circular Tube Couette Flow: Steady Laminar Flow between Two Concentric Rotating Circular Cylinders Flow in Convergent and Divergent Channels Blood Flow in Artery Introduction Steady Flow of Blood through a Constricted Artery Flow of Blood through Arteries in the Presence of a Magnetic Field Pulsatile Flow of Blood through a Constricted Artery Steady Subsonic FlowIntroduction Equations of Motion Application of Regular Decomposition to a Linearized Gasdynamic Equation for Plane Flow Application of Modified Decomposition to a Linearized Gasdynamic Equation for Plane Flow Flow Past a Wavy Wall Application of Regular Decomposition to a Linearized Gasdynamic Equation for Axisymmetric FlowFlow Past a Corrugated Circular Cylinder Steady Transonic Flow Introduction Transonic Solution by Regular Decomposition Transonic Solution by Modified Decomposition Transonic Solution by Multidimensional Operator Transonic Flow Past a Wavy Wall Laplace's Equation Introduction Solution of Laplace's Equation by Regular Decomposition Solution of Laplace's Equation by Modified Decomposition Laplace's Equation for a Circular Disc Laplace's Equation for a Circular Annulus Flow Near a Rotating Disc in a Fluid at Rest Introduction Equations of Motion Solutions for the Small Value of η Solutions for the Large Value of η Appendix IndexReferences appear at the end of each chapter.