scholarly journals A computer program for the 2-D magnetostatic problem based on integral equations for the field of the conductors and boundary elements

1992 ◽  
Vol 28 (1) ◽  
pp. 912-915
Author(s):  
G.H. Morgan
Keyword(s):  
Computer Program ◽  
Integral Equations ◽  
Boundary Elements ◽  
Magnetostatic Problem

scholarly journals Improved Block-Pulse Functions for Numerical Solution of Mixed Volterra-Fredholm Integral Equations

Axioms ◽  
2021 ◽  
Vol 10 (3) ◽  
pp. 200
Author(s):  
Ji-Huan He ◽  
Mahmoud H. Taha ◽  
Mohamed A. Ramadan ◽  
Galal M. Moatimid
Keyword(s):  
Linear System ◽  
Computer Program ◽  
Integral Equations ◽  
Operational Matrix ◽  
Basis Functions ◽  
Fredholm Integral Equations ◽  
Algebraic Equations ◽  
Numerical Examples ◽  
Block Pulse Functions ◽  
Operational Matrix Of Integration

The present paper employs a numerical method based on the improved block–pulse basis functions (IBPFs). This was mainly performed to resolve the Volterra–Fredholm integral equations of the second kind. Those equations are often simplified into a linear system of algebraic equations through the use of IBPFs in addition to the operational matrix of integration. Typically, the classical alterations have enhanced the time taken by the computer program to solve the system of algebraic equations. The current modification works perfectly and has improved the efficiency over the regular block–pulse basis functions (BPF). Additionally, the paper handles the uniqueness plus the convergence theorems of the solution. Numerical examples have been presented to illustrate the efficiency as well as the accuracy of the method. Furthermore, tables and graphs are used to show and confirm how the method is highly efficient.

A Numerical Approach Technique for Solving Generalized Delay Integro-Differential Equations with Functional Bounds by Means of Dickson Polynomials

2018 ◽  
Vol 15 (05) ◽  
pp. 1850039 ◽  
Author(s):  
Ömür Kıvanç Kürkçü ◽  
Ersin Aslan ◽  
Mehmet Sezer ◽  
Özgül İlhan
Keyword(s):  
Differential Equations ◽  
Error Analysis ◽  
Computer Program ◽  
Integral Equations ◽  
Numerical Approach ◽  
Proportional Delay ◽  
Residual Function ◽  
Dickson Polynomials ◽  
Collocation Points ◽  
Delay Difference

In this study, we have considered the linear classes of differential-(difference), integro-differential-(difference) and integral equations by constituting a generalized form, which contains proportional delay, difference, differentiable difference or delay. To solve the generalized form numerically, we use the efficient matrix technique based on Dickson polynomials with the parameter-[Formula: see text] along with the collocation points. We also encode the useful computer program for susceptibility of the technique. The residual error analysis is implemented by using the residual function. The consistency of the technique is analyzed. Also, the numerical results illustrated in tables and figures are compared.

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