Chemical Engineering Hand Written_Notes_Part_30

Chemical Engineering Hand Written_Notes_Part_30 - 62 3....

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62 3. LINEAR ALGEBRAIC EQUATIONS AND RELATED NUMERICAL SCHEMES some of the sparse matrix algorithms are discussed in detail. This is meant to be a brief introduction to sparse matrix computations and the treatment of the topic is, by no means, exhaustive. 3.1. Origin of Sparse Linear Systems. 3.1.1. Solutions ODE-BVP using f nite di f erence method. Consider the fol- lowing general form of 2 nd order ODE-BVP problem frequently encountered in engineering problems ODE: (3.1) Ψ [ d 2 y/dz 2 ,dy/dz,y,z ]=0 ; (0 <z< 1) Boundary Conditions (3.2) f 1 [ dy/dz, y, z ]=0 at z =0 (3.3) f 2 [ dy/dz, y, z ]=0 at z =1 Let y ( z ) C (2) [0 , 1] denote true solution to the above ODE-BVP. Depending onth ena tu reo fope ra to r Ψ , i tmayo rmayno tbepo s s
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This note was uploaded on 11/26/2011 for the course EGN 3840 taught by Professor Mr.shaw during the Fall '11 term at FSU.

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Chemical Engineering Hand Written_Notes_Part_30 - 62 3....

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