• Corpus ID: 16302826

The Shooting Technique for the Solution of Two-Point Boundary Value Problems

  title={The Shooting Technique for the Solution of Two-Point Boundary Value Problems},
  author={Douglas B. Meade and Ralph E. Whitez},
One of the strengths of Maple is its ability to provide a wide variety of information about di erential equations. Explicit, implicit, parametric, series, Laplace transform, numerical, and graphical solutions can all be obtained via the dsolve command. Numerical solutions are of particular interest due to the fact that exact solutions do not exist, in closed form, for most engineering and scienti c applications. The numerical solution methods available within dsolve are applicable only to… 
A Sinc-Galerkin technique for the numerical solution of a class of singular boundary value problems
Singular boundary value problems have received considerable interest in the mathematical applications in different areas of science and engineering. Due to the presence of a singularity, these
MathCAD solutions for problem of laminar boundary-layer flow
-The problem of laminar boundary-layer flow past a flat plate is presented from the viewpoint of an engineer where the numerical results are of great interest. We compute the velocity profile in the
Numerical Study on the Boundary Value Problem by Using a Shooting Method
In the present paper, a shooting method for the numerical solution of nonlinear two-point boundary value problems is analyzed. Dirichlet, Neumann, and Sturm- Liouville boundary conditions are
Triple Solutions and Stability Analysis of Micropolar Fluid Flow on an Exponentially Shrinking Surface
In this article, we reconsidered the problem of Aurangzaib et al., and reproduced the results for triple solutions. The system of governing equations has been transformed into the system of
Dual solutions of time-dependent magnetohydrodynamic stagnation point boundary layer micropolar nanofluid flow over shrinking/stretching surface
Time-dependent, two-dimensional (2D) magnetohydrodynamic (MHD) micropolar nanomaterial flow over a shrinking/stretching surface near the stagnant point is considered. Mass and heat transfer
Numerical Study of Free Convection Boundary Layer Flow on A Vertical Surface with Prescribed Wall Temperature, Heat Flux and Newtonian Heating using Shooting Method
In this paper, the steady free convection boundary layer flow on a vertical surface with prescribed wall temperature (PWT) and prescribed heat flux (PHF) and for the case of Newtonian heating (NH),
A Sinc-Galerkin Approximate Solution of the Reaction-Diffusion Process in an Immobilized Biocatalyst Pellet
In recent years, an increasing interest has focused on the use of Sinc methods as an essential tools for solving some singular problems arising in different areas of applied sciences. Due to the
Designing of the Interface for Nonlinear Boundary Value Problems Solver Using Maple
In this paper the boundary value problem generation and solving program is examined and complete and simplified Blatz and Ko materials are used and program output results are exhibited.
Boundary layer flow and heat transfer over an exponentially shrinking vertical sheet with suction
Abstract In this paper, we investigate theoretically the problem of steady laminar two-dimensional boundary layer flow and heat transfer of an incompressible viscous fluid in the presence of buoyancy
The Optimal Solution of a Non-Convex State-Dependent LQR Problem and Its Applications
It is found that the optimal solution of the NSLQR problem can be obtained by solving a Pseudo-Differential-Riccati-Equation (PDRE) simultaneously with the closed-loop system equation.


Numerical solution of boundary value problems for ordinary differential equations
This book discusses Consistency, Stability, and Convergence higher-Order One-Step Schemes Collocation Theory Acceleration Techniques Higher-Order ODEs Finite Element Methods and Initial Value Methods.
Numerical methods and modeling for chemical engineers
This book outlines numerical techniques for differential equations that either illustrate a computational property of interest or are the underlying methods of a computer software package and the intent is to provide the reader with sufficient background to effectively utilize mathematical software.
Viscous Fluid Flow
* Presents the principles of control volume early for use throughout the book * Emphasizes the constitutive equation that relates deformation to stress. * Examines in detail the flow of Newtonian
Introduction to Numerical Analysis
1. The numerical evaluation of expressions 2. Linear systems of equations 3. Interpolation and numerical differentiation 4. Numerical integration 5. Univariate nonlinear equations 6. Systems of
The behaviour of porous catalyst particles in view of internal mass and heat diffusion effects
Abstract The reactivity behaviour of porous catalyst particles subject to both internal mass concentration gradients as well as temperature gradients, in endothermic or exothermic reactions has been
Numerical Solution of Boundary Value Problems for Ordinary Di erential Equations
  • 1995
Nonlinear Analysis in Chemical Engineering, McGraw-Hill
  • 1980
COL- SYS - a collocation code for boundary value problems
  • Proc. Conf. for Codes for BVPs in ODEs,
  • 1978