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Heat Flow System Semi-linear Model Cn ​​format Convergence, Stability, And Iterative Algorithms

Posted on:2003-08-16Degree:MasterType:Thesis
Country:ChinaCandidate:L P DuanFull Text:PDF
GTID:2208360065462276Subject:Password theory
Abstract/Summary:PDF Full Text Request
This paper deals with semilinear case of heat flow cryptsystems, considering the computational algorithm regarding encryption and decryption which in fact are boundary value problems of semilinear pseudo-parabolic equations.More specifically we discuss the convergence and stability of Crank-Nicolson difference scheme to the partial differential equations.We applied the method based on certain energy estimates to prove the convergence and stability of the scheme in energy norm and maximum norm.In discrete L, norm the proof is attained by means of matric analysis.In order to get the solution of C-N scheme, we introduce the relaxation technique to design an iterative procedure.The convergence area and the relationship between the rate of the procedure and the ca,6 parameter are revealed.At the end, we offer an C program to prove the efficiency of the algorithm regarding encryption and decryption...
Keywords/Search Tags:Semilinear, pseudo-parabolic equations, Crank-Nicolson scheme, stability, convergence, generalized eigenvalue problem, AOR iterative algorithm
PDF Full Text Request
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