The Construction of Implicit One-step Block Hybrid Methods with Multiple Off-grid Points for the Solution of Stiff Differential Equations

Skwame, Y.; Sabo, J.; Kyagya, T. Y.

doi:10.9734/jsrr/2017/36187

Cited by 6 publications

(3 citation statements)

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“…It forms a greater and reasonable portion of an organizations resources. Human resource is directly connected to the success of any organization and therefore must be planned, the process by which management attempts to provide for its human resources to accomplish its task is called manpower planning [11].…”

Section: Concept Of Human Resource Managementmentioning

confidence: 99%

Effect of Human Resource Management Practices on Employee’s Productivity of Deposit Money Banks in Nigeria

Francis¹,

Oaya²,

Mambula³

2019

SJBMS

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This study investigated the effect of human resource management practice on employee's productivity in selected deposit money banks in Nigeria. The data for this study was sourced through the use of structured question distributed to the selected deposit money banks in Yola Metropolis. A total of 193 questionnaires were distributed but 166 were successfully retrieved and analyzed. The study employed descriptive statistics, multiple regression technique in estimating the effects of human resource management practice on employee productivity in the selected organization, correlation coefficient was also used to test the extent to which human resource management relate to employee productivity. The study revealed that human resource planning (HRP), recruitment and selection (RS), staff training and development (TRD) and performance appraisal (PA) were positively affecting employee productivity in the selected deposit money banks in Nigeria and were rightly signed, implying that they were consistent with the theoretical expectation of this study. The F-statistics 5.242014, which measured the joint significance of the parameter estimates, was found statistically significant at 5 per cent level as indicated by the corresponding probability value of 0.025272. This implies that all the variables of the model were jointly and statistically significant in affecting employee productivity in the selected deposit money banks in Nigeria. Finally, this result revealed that human resource management practice was positively and significantly affecting employee productivity in the selected deposit money banks in Nigeria. The study concluded that human resource management practice affected employee productivity positively in selected deposit money banks in Nigeria. The study therefore, recommended that concerted effort need to be taken in the banking industries in Nigeria to improve their human resource practice in order to achieve the objective of increasing the productivity of their employees.

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Section: Concept Of Human Resource Managementmentioning

confidence: 99%

Effect of Human Resource Management Practices on Employee’s Productivity of Deposit Money Banks in Nigeria

Francis¹,

Oaya²,

Mambula³

2019

SJBMS

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“…However, only a limited number of analytical methods are available for solving (1), hence the resort to numerical approximation methods. The well-known conventional method for solving (1) is to reduce it to a system of first order differential equations, Fatunla 1988) The reduction of such problems of type (1) to systems of first-order equations, leads to serious computational burden as well as wastage in computer time It has been reported that direct method for solving (1) is more efficient than the method of reduction to system of first order ordinary differential equations [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18]. Implicit linear multistep methods which have better stability properties than explicit methods have been developed for the solution of (1) above [3-6, 10, 13, 17], among others proposed multi-derivative linear multistep method were implemented in predictor-corrector mode.…”

Section: Introductionmentioning

confidence: 99%

A Fifth-fourth Continuous Block Implicit Hybrid Method for the Solution of Third Order Initial Value Problems in Ordinary Differential Equations

Osa¹,

Omole²

2019

ACM

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In this paper, block method was developed using method of collocation and interpolation of power series as approximate solution to give a system of non linear equations which is solved to give a continuous hybrid linear multistep method. The continuous hybrid linear multistep method is solved for the independent solutions to give a continuous hybrid block method which is then evaluated at some selected grid points to give a discrete block method. The basic properties of the discrete block method were investigated and found to be zero stable, consistent and convergent. The derived scheme was tested on some numerical examples and was found to give better approximation than the existing method.

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“…Sunday et al [3] developed a quarter-step hybrid block method for solving (1.1), [4] constructed an A-stable uniform order six linear multi-step methods for direct integration of (1.1). Also, Skwame et al [5] construct an implicit one-step block hybrid methods with multiple off-grid points for solving (1.1). And [6] formed numerical solution of first order initial value problems using a self-starting implicit two-step obrechkoff-type block method.…”

Section: Introductionmentioning

confidence: 99%

An Accurate Implicit Quarter Step First Derivative Block Hybrid Method (AIQSFDBHM) for Solving Ordinary Differential Equations

Tumba

Sabo

Okeke

et al. 2019

ARJOM

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The new accurate implicit quarter step first derivative blocks hybrid method for solving ordinary differential equations have been proposed in this paper via interpolation and collocation method for the solution of stiff ODEs. The analysis of the method was study and it was found to be consistent, convergent, zero-stability, We further compute the region of absolute stability region and it was found to be Aα − stable . It is obvious that, the numerical experiments considered showed that the methods compete favorably with existing ones. Thus, the pair of numerical methods developed in this research is computationally reliable in solving first order initial value problems, as the results from numerical solutions of stiff ODEs shows that this method is superior and best to solve such problems as in tables and figures.

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The Construction of Implicit One-step Block Hybrid Methods with Multiple Off-grid Points for the Solution of Stiff Differential Equations

Cited by 6 publications

References 0 publications

Effect of Human Resource Management Practices on Employee’s Productivity of Deposit Money Banks in Nigeria

Effect of Human Resource Management Practices on Employee’s Productivity of Deposit Money Banks in Nigeria

A Fifth-fourth Continuous Block Implicit Hybrid Method for the Solution of Third Order Initial Value Problems in Ordinary Differential Equations

An Accurate Implicit Quarter Step First Derivative Block Hybrid Method (AIQSFDBHM) for Solving Ordinary Differential Equations

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