Results 131 to 140 of about 308 (176)

An iterative numerical method for Fredholm–Volterra integral equations of the second kind

Applied Mathematics and Computation, 2015
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Sanda Micula
exaly   +3 more sources

Modified HAM for solving linear system of Fredholm-Volterra Integral Equations

Malaysian Journal of Mathematical Sciences, 2022
This paper considers systems of linear Fredholm-Volterra integral equations using a modified homotopy analysis method (MHAM) and the Gauss-Legendre quadrature formula (GLQF) to find approximate solutions. Standard homotopy analysis method (HAM), MHAM, and optimal homotopy asymptotic method (OHAM) are compared for the same number of iterations.
Eshkuvatov, Z. K.   +4 more
openaire   +2 more sources

Numerical approach for nonlinear system of Fredholm-Volterra integral equations

AIP Conference Proceedings, 2021
In this note, the homotopy analysis method (HAM) is applied as a tool for solving the system of non-linear Fredholm-Volterra integral equations. The generalized chain rule is implemented for differentiation of the non-linear kernel functions with many variables, and the non-linear problem is reduced into a sequence of known non-linear integral equa ...
Zainidin Eshkuvatov   +4 more
openaire   +1 more source

On the numerical solutions of Fredholm–Volterra integral equation

Applied Mathematics and Computation, 2003
The authors describe the Toeplitz matrix method and the product Nystrom method for the mixed Fredholm-Volterra singular integral equation of the second kind: \[ \mu\phi(x,t)-\lambda\int_{-1}^1k(x,y)\phi(y,t)\,dy- \lambda\int_0^tF(t, \tau)\phi(x,\tau)\,d\tau= f(x,t),\quad 0\leqslant t\leqslant T,\;| x| \leqslant1,\tag{1} \] where \(k\), \(F\) and \(f ...
M. A. Abdou 0001   +2 more
openaire   +1 more source

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