On the numerical solution of nonlinear integral equation arising in conductor like screening model for realistic solvents

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Attary Maryam

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Journal Paper

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Journal: MATHEMATICAL SCIENCES Year:2018 | Volume:12 | Issue:3 Page(s): 177-183

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Title

On the numerical solution of nonlinear integral equation arising in conductor like screening model for realistic solvents

Author(s)

Attary Maryam | Issue Writer Certificate

Keywords

Hammerestein integral equation

Chemical phenomenon

Chebyshev polynomials

Numerical treatment

Abstract

The aim of this work is to introduce an efficient algorithm for the numerical solution of nonlinear integral equation arising from chemical phenomenon which is a famous equation in chemistry engineering. A procedure is described for transforming the nonlinear integral equation by using Chebyshev polynomials to nonlinear system of algebraic equations. Also, we present a convergence analysis and error bound for presented method. In addition, some numerical results are reported to evaluate the validity and applicability of the method and also comparison has been done with existing results.

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APA: Copy

Attary, Maryam. (2018). On the numerical solution of nonlinear integral equation arising in conductor like screening model for realistic solvents. MATHEMATICAL SCIENCES, 12(3), 177-183. SID. https://sid.ir/paper/322705/en

Vancouver: Copy

Attary Maryam. On the numerical solution of nonlinear integral equation arising in conductor like screening model for realistic solvents. MATHEMATICAL SCIENCES[Internet]. 2018;12(3):177-183. Available from: https://sid.ir/paper/322705/en

IEEE: Copy

Maryam Attary, “On the numerical solution of nonlinear integral equation arising in conductor like screening model for realistic solvents,” MATHEMATICAL SCIENCES, vol. 12, no. 3, pp. 177–183, 2018, [Online]. Available: https://sid.ir/paper/322705/en

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