Results 131 to 140 of about 1,063 (184)

Bending of bidirectional functionally graded nonlocal stress-driven beam. [PDF]

Heliyon
Indronil D.
europepmc   +1 more source

Convective stability of the critical waves of an FKPP-type model for self-organized growth. [PDF]

J Math Biol
Kreten F.
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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, A S Ismail
exaly   +2 more sources

The -method and Fredholm integral equations

Computer Methods in Applied Mechanics and Engineering, 1977
Abstract Instead of using approximate methods on the equation f(x) = g(x) + λ ∫ 0 1 K(x,t)f(t) dt , the τ-method is employed to obtain the exact solution of the equation h(x) = g(x) + λ ∫ 0 1 K(x,t)h(t) dt + R(x,λ) ,The analytical from of R(x, λ) determines the type of approximation which results.
Fair, Wyman, Wimp, Jet
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Parallel solution of Fredholm integral equations

Parallel Computing, 1989
Nyström and Galerkin procedures are examined numerically. In both cases, parallel variants to obtain the matrices and to solve the linear matrix systems, are performed. There results superiority of the parallel variants for a large number of discretization points or functions in the Galerkin ansatz, respectively.
Esmail Babolian, L. M. Delves
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A simplification to Fredholm’s solution to the Fredholm integral equation of the second kind

Applied Mathematics and Computation, 2007
The authors provide a simplification of the solution of a Fredholm integral equation of the second kind in terms of a ratio of determinants. Combinatorial arguments allow a major simplification of Fredholm's solution formula, economizing in particular on the number of multiple integrals to evaluate.
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On Solving Fredholm Integral Equations of the First Kind

Journal of the ACM, 1977
A method for numerical solution of Fredholm integral equations of the first kind is derived and illustrated The solution f(x) of the integral equation is assumed to be a sample function of a wide-sense stationary random process with known autocorrelaUon function.
SAHASRABUDHE, SC, KULKARNI, AD
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On Volterra–Fredholm Equations with Partial Integrals

Differential Equations, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Fredholm Integral Equations

2011
It was stated in Chapter 2 that Fredholm integral equations arise in many scientific applications. It was also shown that Fredholm integral equations can be derived from boundary value problems. Erik Ivar Fredholm (1866– 1927) is best remembered for his work on integral equations and spectral theory. Fredholm was a Swedish mathematician who established
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Fredholm theory of Heitler’s integral equation

Acta Physica Academiae Scientiarum Hungaricae, 1954
The Fredholm theory of non-homogeneous integral equation has been applied to Heitler’s integral equation for radiation damping in scattering processes which are beset with divergence difficulties. The general convergence of the solution has been discussed, from the mathematical point of view.
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