In the process industries convergence of a batch gradient method with inner-penalty and adaptive momentum is inspection for training pi-sigma neural networks. The role of the usual penalty is consider ...

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This paper investigates an online gradient method with inner- penalty for a novel feed forward network it is called pi-sigma network. This network utilizes product cells as the output units to indirec ...

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In this paper, the eigenfunction expansion method (EEM) is applied to find numerical solutions for variable coefficient fourth-order ordinary differential equations (ODEs) with polynomial nonlinearit ...

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Multiple solutions of fourth-order ordinary differential equations (ODEs) with cubic polynomial nonlinearity are presented in this paper. The ODEs are discretized by the eigenfunction expansion metho ...

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The main goal of the present thesis is to study the numerical techniques for finding multiple solutions of nonlinear fourth-order ordinary differential equations (ODEs) with constant and variable-coef ...

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The Bessel functions in cylindrical coordinates were introduced, and the expression of different kinds with discussion of the characteristics and behavior was given by focusing on regions far and near ...

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