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Convective stability of the critical waves of an FKPP-type model for self-organized growth. [PDF]
Kreten F.
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SEIQRS model analysis and optimal control with two delays. [PDF]
Wang J, Zhong L, Chang X.
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An iterative numerical method for Fredholm–Volterra integral equations of the second kind
Applied Mathematics and Computation, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sanda Micula
exaly +3 more sources
Modified HAM for solving linear system of Fredholm-Volterra Integral Equations
Malaysian Journal of Mathematical Sciences, 2022This 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
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Numerical approach for nonlinear system of Fredholm-Volterra integral equations
AIP Conference Proceedings, 2021In 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
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On the numerical solutions of Fredholm–Volterra integral equation
Applied Mathematics and Computation, 2003The 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
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