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A new algorithm for system of integral equations
Published 2014“…We develop a new algorithm to solve the system of integral equations. …”
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An algorithm for positive solution of boundary value problems of nonlinear fractional differential equations by Adomian decomposition method
Published 2016“…In the proposed algorithm the boundary conditions are used to convert the nonlinear fractional differential equations to an equivalent integral equation and then a recursion scheme is used to obtain the analytical solution components without the use of undetermined coefficients. …”
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Bezier curves for solving Fredholm integral equations of the second kind
Published 2014“…The Bezier curves are presented to estimate the solution of the linear Fredholm integral equation of the second kind. A direct algorithm for solving this problem is given. …”
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A COMPUTATIONAL ALGORITHM for the NUMERICAL SOLUTION of NONLINEAR FRACTIONAL INTEGRAL EQUATIONS
Published 2022“…With the help of the mentioned technique, the considered problem is transformed to a system of algebraic equations which is then solved for the required results by using Broyden algorithm. …”
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SURE-Autometrics algorithm for model selection in multiple equations
Published 2016“…Thus, this study aims to develop an algorithm for model selection in multiple equations focusing on seemingly unrelated regression equations (SURE) model. …”
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Sure (EM)-Autometrics: An Automated Model Selection Procedure with Expectation Maximization Algorithm Estimation Method (S/O 14925)
Published 2021“…SURE(EM)-Autometrics dominated the comparison by being at the top of the rankings for most of the error measures. Hence, the integration of EM algorithm estimation is applicable in improving the performance of automated model selection procedures for multiple equations models…”
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Wavelet neural networks based solutions for elliptic partial differential equations with improved butterfly optimization algorithm training
Published 2020“…In this paper, an improved butterfly optimization algorithm (IBOA) is proposed and subsequently integrated into the training process of the WNNs. …”
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Extended multiple models selection algorithms based on iterative feasible generalized least squares (IFGLS) and expectation-maximization (EM) algorithm
Published 2019“…This extension of Autometrics for model selection was also developed for multiple equations by integrating it with seemingly unrelated regressions equations (SURE) and estimated using feasible generalized least squares (FGLS), known as SURE-Autometrics algorithm. …”
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Parallel method using MPI for solving large systems of delay differential equations
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Application of refinement successive over-relaxation (RSOR) in solving the piecewise polynomial on fredholm integral equation of the second type
Published 2023“…The algorithm, which is called Composite Trapezium (CT), is generally used to discretize any integral term. …”
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Cryptographic Algorithm Using Matrix Inversion as Data Protection
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Solving Boundary Value Problems for Ordinary Differential Equations Using Direct Integration and Shooting Techniques
Published 1999“…In this thesis, an efficient algorithm and a code BVPDI is developed for solving Boundary Value Problems (BVPs) for Ordinary Differential Equations (ODEs). …”
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Direct Integration Block Method for Solving Higher Order Ordinary Differential Equations
Published 2010“…A system of higher order can also be reduced to a system of first order equations and then solved using any numerical method. …”
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