Titlebook: Computational Methods in Chemical Engineering with Maple; Ralph E. White,Venkat R. Subramanian Textbook 2010 Springer-Verlag Berlin Heidel

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Boundary Value Problems,specification of boundary conditions at two points, it is often called a two point boundary value problem. Both linear and nonlinear boundary value problems will be discussed in this chapter. We will present analytical solutions for linear boundary value problems and numerical solutions for nonlinear boundary value problems.

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Method of Lines for Parabolic Partial Differential Equations,nd boundary conditions at two ends. Both linear and nonlinear parabolic partial differential equations will be discussed in this chapter. We will present semianalytical solutions for linear parabolic partial differential equations and numerical solutions for nonlinear parabolic partial differential equations based on the numerical method of lines.

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Substitutions and symbolic dynamical systemsr ( x = ∞) from the origin. Both parabolic and elliptic partial differential equations will be discussed in this chapter. The Laplace transform technique will be used for parabolic partial differential equations. A similarity solution technique will be used for parabolic, elliptic and nonlinear partial differential equations.

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Substitutions and symbolic dynamical systemsn referred to as an initial value problem (IVP), because the initial conditions of the dependent variables must be known to determine how the dependent variables change with time. In this chapter, we will describe how one can obtain analytical and numerical solutions for linear IVPs and numerical solutions for nonlinear IVPs.

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Initial Value Problems,n referred to as an initial value problem (IVP), because the initial conditions of the dependent variables must be known to determine how the dependent variables change with time. In this chapter, we will describe how one can obtain analytical and numerical solutions for linear IVPs and numerical solutions for nonlinear IVPs.