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AMC
2007
136views more  AMC 2007»
13 years 7 months ago
Iterative method for solving a nonlinear boundary value problem
In this paper, a boundary value problem for a nonlinear second-order ordinary differential equation is studied. By means of the maximum principle we established the existence and...
A. Dang Quang
AMC
2007
184views more  AMC 2007»
13 years 7 months ago
Elliptic curve scalar multiplication algorithm using complementary recoding
Elliptic curve based cryptosystem is an efficient public key cryptosystem, which is more suitable for limited environments. The very expensive operation in elliptic curve based cr...
P. Balasubramaniam, E. Karthikeyan
AMC
2007
87views more  AMC 2007»
13 years 7 months ago
Generalized Clenshaw-Curtis quadrature rule with application to a collocation least-squares method
This paper deals with an extension of one-dimensional Clenshaw–Curtis quadrature rule to Rd ; d P 2 on a convex domain. As one of its applications, we apply this quadrature rule...
Changho Kim, Sang Dong Kim, Jungho Yoon
AMC
2007
81views more  AMC 2007»
13 years 7 months ago
The Korteweg-de Vries-Kawahara equation in a bounded domain and some numerical results
We are concerned with the initial-boundary problem associated to the Korteweg–de Vries–Kawahara perturbed by a dispersive term which appears in several fluids dynamics proble...
Juan Carlos Ceballos, Mauricio Sepúlveda, O...
AMC
2007
156views more  AMC 2007»
13 years 7 months ago
Derivation of the Adomian decomposition method using the homotopy analysis method
Adomian decomposition method has been used intensively to solve nonlinear boundary and initial value problems. It has been proved to be very efficient in generating series solutio...
Fathi M. Allan