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1
Approximating Non Linear Higher Order ODEs By A Three Point Block Algorithm
Published 2024journal::journal article -
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Numerical algorithm of block method for general second order ODEs using variable step size
Published 2017“…This paper outlines an alternative algorithm for solving general second order ordinary differential equations (ODEs). …”
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3
Numerical algorithm of block method for general second order ODEs using variable step size
Published 2017“…This paper outlines an alternative algorithm for solving general second order ordinary differential equations (ODEs). …”
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4
Parallel block methods for solving higher order ordinary differential equations directly
Published 1999“…The accuracy of the parallel block and 1-point methods is comparable particularly when finer step sizes are used. A new parallel algorithm for solving systems of ODEs using variable step size and order is also developed. …”
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Parallel Block Methods for Solving Ordinary Differential Equations
Published 2004“…In this thesis, new and efficient codes are developed for solving Initial Value Problems (IVPs) of first and higher order Ordinary Differential Equations (ODEs) using variable step size. …”
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7
Multivalue-multistage method for second-order ODEs
Published 2016“…In this paper the method of order three using constant step-size algorithm is derived. The stability region of method is also proposed.…”
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8
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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9
Block backward differentiation alpha-formulas for solving stiff ordinary differential equations
Published 2017“…In conclusion, the derived methods can be used as viable alternative solver for stiff ODEs and real-life problem.…”
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10
Parallel block backward differentiation formulas for solving ordinary differential equations.
Published 2008“…A parallel block method based on Backward Differentiation Formulas (BDF) is developed for the parallel solution of stiff Ordinary Differential Equations (ODEs). …”
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11
Direct Integration Block Method for Solving Higher Order Ordinary Differential Equations
Published 2010“…However, the developed block method will solve the system of higher order ODEs directly without reducing it to first order. …”
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12
Parallel Diagonally Implicit Runge-Kutta Methods For Solving Ordinary Differential Equations
Published 2009“…Three large scales of stiff ODEs are used to measure the parallel performances of the new embedded methods. …”
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13
Family of singly diagonally implicit block backward differentiation formulas for solving stiff ordinary differential equations
Published 2021“…Numerical algorithm of the method is designed to solve the second order stiff ODEs directly. …”
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Analysis of least squares methods based on Ball curves representation in solving ordinary differential equations
Published 2024“…The main objective of the study is to develop approximation methods base on the Ball curve using LSMfor both linear and nonlinear IVPs and BVPs of ODEs. …”
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16
An Educational Tool Aimed at Learning Metaheuristics
Published 2020“…In this paper, we introduce an education tool for learning metaheuristic algorithms that allows displaying the convergence speed of the corresponding metaheuristic upon setting/changing the dependable parameters. …”
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17
A Feature Ranking Algorithm in Pragmatic Quality Factor Model for Software Quality Assessment
Published 2013“…The methodology used consists of theoretical study, design of formal framework on intelligent software quality, identification of Feature Ranking Technique (FRT), construction and evaluation of FRA algorithm. The assessment of quality attributes has been improved using FRA algorithm enriched with a formula to calculate the priority of attributes and followed by learning adaptation through Java Library for Multi Label Learning (MULAN) application. …”
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18
Solving ordinary differential equations using block multistep method
Published 2011“…An eficient code based on block multistep method is developed for solving first and higher order initial value problems (IVPs) of ordinary differential equations (ODEs) using variable step size strategy. …”
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19
Parallel R-point implicit block method for solving higher order ordinary differential equations directly
Published 2004“…In this paper, a new method called parallel R-point implicit block method for solving higher order ODEs directly using constant step size is developed. …”
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20
One-step block methods for solving ordinary and delay differential equations
Published 2011“…This thesis describes the implementation of one step block methods of Runge-Kutta type for solving first order Ordinary Differential Equations (ODEs) and Delay Differential Equations (DDEs). A new modified algorithm from the existing program for solving ODEs was developed. …”
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