Dual Integral Equations with Bessel Function and Trigonometrical Kernels
نویسندگان
چکیده
منابع مشابه
COLLOCATION METHOD FOR FREDHOLM-VOLTERRA INTEGRAL EQUATIONS WITH WEAKLY KERNELS
In this paper it is shown that the use of uniform meshes leads to optimal convergence rates provided that the analytical solutions of a particular class of Fredholm-Volterra integral equations (FVIEs) are smooth.
متن کاملIntegral Equations with Contrasting Kernels
0 C(t, s)x(s)ds with sharply contrasting kernels typified by C∗(t, s) = ln(e + (t − s)) and D∗(t, s) = [1 + (t − s)]. The kernel assigns a weight to x(s) and these kernels have exactly opposite effects of weighting. Each type is well represented in the literature. Our first project is to show that for a ∈ L[0,∞), then solutions are largely indistinguishable regardless of which kernel is used. T...
متن کاملcollocation method for fredholm-volterra integral equations with weakly kernels
in this paper it is shown that the use of uniform meshes leads to optimal convergence rates provided that the analytical solutions of a particular class of fredholm-volterra integral equations (fvies) are smooth.
متن کاملSome Integral Equations with Nonsymmetric Separable Kernels*
Absbact. It is shown that the eigeovalues and eigenfunctions for the class of "separable" or "semidegenerate" kernels can be determined from the solution of a linear differential equation, which is usually more amenable to machine solution. The theory is extended to solve a simultaneous diagonalization problem for two separable kernels. Finally, some new connections are obtained between Riccati...
متن کاملApproximate solution of dual integral equations
We study dual integral equations which appear in formulation of the potential distribution of an electrified plate with mixed boundary conditions. These equations will be converted to a system of singular integral equations with Cauchy type kernels. Using Chebyshev polynomials, we propose a method to approximate the solution of Cauchy type singular integral equation which will ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the Edinburgh Mathematical Society
سال: 1963
ISSN: 0013-0915,1464-3839
DOI: 10.1017/s0013091500025803