Results 161 to 170 of about 7,526 (199)

Multistability bifurcation analysis and transmission pathways for the dynamics of the infectious disease-cholera model with microbial expansion inducing the Allee effect in terms of Guassian noise and crossover effects. [PDF]

Sci Rep
Raza MA, Agama FT, Sultana S, Rashid S, Alharthi MS.   +4 more
europepmc   +1 more source

Mathematical modeling of allelopathic stimulatory phytoplankton species using fractal-fractional derivatives. [PDF]

Sci Rep
Kumawat S, Bhatter S, Bhatia B, Purohit SD, Suthar DL.   +4 more
europepmc   +1 more source

Time-domain methods for quantifying dynamic cerebral blood flow autoregulation: Review and recommendations. A white paper from the Cerebrovascular Research Network (CARNet). [PDF]

J Cereb Blood Flow Metab
Kostoglou K, Bello-Robles F, Brassard P, Chacon M, Claassen JA, Czosnyka M, Elting JW, Hu K, Labrecque L, Liu J, Marmarelis VZ, Payne SJ, Shin DC, Simpson D, Smirl J, Panerai RB, Mitsis GD.   +16 more
europepmc   +1 more source

The analysis of a new fractional model to the Zika virus infection with mutant. [PDF]

Heliyon
Zafar ZUA, Khan MA, Inc M, Akgül A, Asiri M, Riaz MB.   +5 more
europepmc   +1 more source

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Fredholm–Volterra integral equation with singular kernel

Applied Mathematics and Computation, 2003
The author considers the Fredholm-Volterra integral equation of the second kind \[ \delta\phi(x,t)+\int\limits_{-1}^1 \left| \ln| y-x| -d\right| \phi(y,t)\,dy+\int\limits_0^t F(\tau)\phi(x,\tau) \,d\tau=f(x,t),\tag{1} \] where \(| x| \leq1,\) \( t\in[0,T],\) \(\lambda\in(0,\infty),\) \(\delta\in(0,\infty]\), with a specific right-hand side \(f(x,t ...
M. A. Abdou
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On a weakly singular Volterra integral equation

CALCOLO, 1981
The need for providing reliable numerical methods for the solution of weakly singular Volterra integral equations of first kind stems from the fact that they are connected to important problems in the theory and applications of stochastic processes. In the first section the above problems and some peculiarities of such equations are briefly sketched ...
Favella, L. F., De Griffi, E. M.
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Singular perturbation analysis of a certain volterra integral equation

Zeitschrift für angewandte Mathematik und Physik ZAMP, 1972
An investigation is made of the asymptotic behavior of the solutionu(t;e) to the Volterra integral equation $$\varepsilon u(t;\varepsilon ) = \pi ^{ - \tfrac{1}{2}} \int\limits_0^t {(t - s)^{ - \tfrac{1}{2}} [f(s) - u^n (s;\varepsilon )]} ds, t \geqslant 0, n \geqslant 1$
Olmstead, W. E., Handelsman, Richard A.
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On Volterra Type Singular Integral Equations

Georgian Mathematical Journal, 2001
Conditions for the boundedness are established, and the norms of Volterra type one-dimensional integral operators with fixed singularities of first order in the kernel are calculated in the space L2 with weight. Integral equations of second order, containing the said operators, are investigated.
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Numerical solution of Volterra integral equations with singularities

Frontiers of Mathematics in China, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kolk, Marek, Pedas, Arvet
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The Numerical Solution of Singular Volterra Integral Equations

SIAM Journal on Numerical Analysis, 1968
It is possible to prove by Laplace transform analysis that (1.1) has a unique solution R(t) satisfying the foregoing conditions. However, this approach is not very useful for numerical purposes. We shall present a practical and efficient method of approximate solution. The successive approximations are piecewise linear.
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