Solution Of Linear Integral Equation Using The Series Iterative Method
ABSTRACT
This work
addresses the problem of solving linear integral equations using the Neumann
series iterative method. Particular attention is paid to the Fredholm and
Volterra integral equation of the second kind. It is shown that (i) boundary
value problem can be reduced to appropriate integral equation. (ii) linear
integration of the third kind can generally be reduce to linear integral
equations of the second kind. (iii) to successfully apply the Neumann series
iterative method in solving those linear there linear integral equations and
thus ensure the appropriate convergence of the resulting Neumann series the
parameter needs must be small, that is, must satisfy some a prom bound. Several
concrete examples are use to illustrate the discussions in this work.
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MBA, D (2022). Solution Of Linear Integral Equation Using The Series Iterative Method. Repository.mouau.edu.ng: Retrieved Apr 27, 2024, from https://repository.mouau.edu.ng/work/view/solution-of-linear-integral-equation-using-the-series-iterative-method-7-2
DAVID, MBA. "Solution Of Linear Integral Equation Using The Series Iterative Method" Repository.mouau.edu.ng. Repository.mouau.edu.ng, 03 Nov. 2022, https://repository.mouau.edu.ng/work/view/solution-of-linear-integral-equation-using-the-series-iterative-method-7-2. Accessed 27 Apr. 2024.
DAVID, MBA. "Solution Of Linear Integral Equation Using The Series Iterative Method". Repository.mouau.edu.ng, Repository.mouau.edu.ng, 03 Nov. 2022. Web. 27 Apr. 2024. < https://repository.mouau.edu.ng/work/view/solution-of-linear-integral-equation-using-the-series-iterative-method-7-2 >.
DAVID, MBA. "Solution Of Linear Integral Equation Using The Series Iterative Method" Repository.mouau.edu.ng (2022). Accessed 27 Apr. 2024. https://repository.mouau.edu.ng/work/view/solution-of-linear-integral-equation-using-the-series-iterative-method-7-2