Search Results - ((((coding method) OR (point method))) OR (solving method))

Direct Block Methods for Solving Special Second Order Ordinary Differential Equations and Their Parallel Implementations by Yap, Lee Ken

“…The performances of the r-point block methods using sequential and parallel codes are compared in terms of the total steps, execution time, speedup and efficiency. …”
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Variable Step Variable Order Two Point Block Fully Implicit Method for Solving Ordinary Differential Equations by Abdul Majid, Zanariah, Suleiman, Mohamed

“…The code will combine three proposed block methods i.e the 2-point one block fully implicit block method of order 5, the 2-point two block fully implicit block method of order 7 and the 2-point three block fully implicit block method of order 9. …”
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New classes of block backward differentiation formula for solving stiff initial value problems by Musa, Hamisu

“…The problems tested indicate the method's suitability for solving sti® IVPs. The second class of formulae developed involved the addition of an extra future point in the BBDF method to produce new formula called Block Extended Back- ward Di®erentiation Formula (BEBDF). 2¡point and 3¡point formulae of this class are also developed and their codes implemented. …”
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Implementation of parallel three-point block codes for solving large systems of ordinary differential equations. by Abdul Majid, Zanariah, Suleiman, Mohamed

“…The three-point fully implicit block methods are developed for solving large systems of ordinary differential equations using variable step size on a parallel shared memory computer. …”
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New computational method for solving ordinary differential equations by Hue, Chi San, Abdul Majid, Zanariah, Othman, Mohamed, Suleiman, Mohamed

“…The coupled block method consists of two proposed block methods for example the two point two step block method of order five and three point two step block method of order six. …”
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New computational method for solving ordinary differential equations by Hue, Chi San, Zanariah Abdul Majid, Mohamed Othman, Mohamed Suleiman

“…The coupled block method consists of two proposed block methods i.e the two point two step block method of order five and three point two step block method of order six. …”
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Parallel Block Methods for Solving Ordinary Differential Equations by Abdul Majid, Zanariah

“…The numerical results showed that the sequential implementation of the new codes could reduce the total number of steps and execution times even when solving small systems of first and higher order ODEs compared with the 1-point method and the existing 2PBVSO code in Omar (1 999). …”
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Trigonometrically fitted multistep methods for solving oscillatory problems by Mansor, Aini Fadhlina

“…At the beginning of the thesis, we trigonometrically fitted the first point of the existing block multistep method which was purposely derived for solving special second order ordinary differential equations (ODEs). …”
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Implementation of VSVO code for solving boundary value problems of Dirichlet and Neumann type by Phang, Pei See, Abdul Majid, Zanariah

“…In this paper, a variable step size and variable order strategy (VSVO) used in the block method is developed for solving directly the second order two-point boundary value problems (BVPs). …”
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Solving ordinary differential equations using block multistep method by Mehrkanoon, Siamak

“…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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Numerical solutions of linear fredholm integro-differential equations of the second kind using quadrature-difference methods by Jalius, Chriscella

“…The system of linear algebraic equation will be solved by using Gauss elimination method. An algorithm and a coding of the proposed methods are developed in this thesis. …”
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Numerical solution of second order linear two-point boundry value problem using direct multistep method by Chew, Khui Tat

“…In this thesis, direct multistep methods are developed for solving second order linear two-point boundary value problems. …”
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Explicit hybrid methods for solving special second order ordinary differential equations by Samat, Faieza

“…The method with two stages is derived for constant step-size code whereas the method with four stages is derived for variable step-size code. …”
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Direct integration implicit variable steps method for solving higher order systems of ordinary differential equations directly by Zanariah Abdul Majid , Mohamed Suleiman

“…Thus, this strategy can avoid the lengthy computation of the coefficients during the implementation of the code as well as to improve the execution time. Numerical results are given to compare the efficiency of the developed method with the 1-point method of variable step size and order code (1PDVSO) in Omar (1999).…”
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Sequential and Parallel Methods for Numerical Solutions of Delay Differential Equations by Ishak, Fuziyah

“…Formulae for three two-point block methods for solving delay differential equations are derived. …”
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Study of predictor corrector block method via multiple shooting to Blasius and Sakiadis flow by Majid, Zanariah Abdul, See, Phang Pei

“…In this paper, a predictor corrector two-point block method is proposed to solve the well-known Blasius and Sakiadis flow numerically. …”
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Multistep block methods for solving volterra integro-differential equations of second kind by Mohamed, Nurul Atikah

“…Numerical solutions of Volterra integro-differential equations (VIDEs) by using multistep block methods are proposed in this thesis. The two point one-step block method, two point two-step block method and two point three-step block method are derived by using the Lagrange interpolating polynomial. …”
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Solving delay differential equations by Adams Moulton block method using divided difference interpolation by Abdul Majid, Zanariah, San, Hue Chi, Othman, Mohamed, Suleiman, Mohamed B.

“…The coupled block method consists of two and three point block method in a single code presented as in the simple Adams Moulton type. …”
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Implicit block methods with extra derivatives for solving general higher-order ordinary differential equations with applications by M., Allogmany Reem Ayed

“…However, it is more cost effective if they can be solved directly by numerical methods. Block methods approximate the solutions of the ODEs at more than one point at one time step, hence faster solutions can be obtained. …”
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Block backward differentiation formula for solving ordinary and algebraic differential equations by Abasi, Naghmeh

“…A formula of the 2-point with o®-step points using block BDF method of constant step size for solving sti® ODEs is developed. …”
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