<p>A Powerful Methodology for Solving All Types of Differential EquationsDecomposition Analysis Method in Linear and Non-Linear Differential Equations explains how the Adomian decomposition method can solve differential equations for the series solutions of fundamental problems in physics, astrophys
Decomposition analysis method in linear and nonlinear differential equations
β Scribed by Haldar, Kansari
- Publisher
- CRC
- Year
- 2016
- Tongue
- English
- Leaves
- 281
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Table of Contents
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 ΓΒ· Solutions for the Large Value of ΓΒ· Appendix IndexReferences appear at the end of each chapter.
β¦ Subjects
Decomposition method;Differential equations
π SIMILAR VOLUMES
Part I. Basic Ideas and Theorems -- Introduction -- Basic Ideas of the Homotopy Analysis Method -- Optimal Homotopy Analysis Method -- Systematic Descriptions and Related Theorems -- Relationship to Euler Transform -- Some Methods Based on the HAM -- Part II. Mathematica Package BVPh and Its Applic
This work, consisting of expository articles as well as research papers, highlights recent developments in nonlinear analysis and differential equations.Β The material is largely an outgrowth of autumn school courses and seminars held at the University of Lisbon and has been thoroughly refereed. Se
This work, consisting of expository articles as well as research papers, highlights recent developments in nonlinear analysis and differential equations. The material is largely an outgrowth of autumn school courses and seminars held at the University of Lisbon and has been thoroughly refereed.
This well-thought-out book covers the fundamentals of nonlinear analysis, with a particular focus on variational methods and their applications. Starting from preliminaries in functional analysis, it expands in several directions such as Banach spaces, fixed point theory, nonsmooth analysis, minimax