Degenerate Integro-Differential Equations of Convolution Type in Banach Spaces
We consider an integro-differential equation in convolutions of a special kind in Banach spaces with the Fredholm operator in the main part. The article concerns with the problem of unique solvability of the Cauchy-problem for this equation in the class ...
M. Falaleev
doaj
Higher-order finite-difference methods for partial differential equations
This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.This thesis develops two families of numerical methods, based upon rational approximations having distinct real poles, for solving first- and second-order ...
Cheema, Tasleem Akhter, Cheema, T.A.
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Abstract fractional integro-differential equations involving nonlocal initial conditions in
In the present paper, we deal with the Cauchy problems of abstract fractional integro-differential equations involving nonlocal initial conditions in α-norm, where the operator A in the linear part is the generator of a compact analytic semigroup ...
Wang Rong-Nian, Liu Jun, Chen De-Han
doaj
A general numerical method is described for the solution of linear elliptic and parabolic partial differential equations in the presence of boundary singularities.
Furzeland, RM, Crank, J
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NONLINEAR INTEGRO-DIFFERENTIAL BARBASHIN EQUATION WITH A PARTIAL SECOND-ORDER DERIVATIVE [PDF]
В статье рассматривается задача Коши для нелинейного интегро- дифференциального уравнения Барбашина с частной производной второго порядка. Рассматриваемая задача эквивалентна интегральному уравнению Вольтерра с част- ными интегралами.
Калитвин Анатолий Семенович +1 more
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Implicit methods for the simple wave equation
A family of finite difference methods is developed for the numerical solution of the simple wave equation. Local truncation errors are cal- culated for each member of the family and each is analyzed for stability.
Tirmizi, S I A, Twizell, E H
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NONLINEAR INTEGRO-DIFFERENTIAL BARBASHIN EQUATION WITH A PARTIAL SECOND-ORDER DERIVATIVE
170-174В статье рассматривается задача Коши для нелинейного интегро- дифференциального уравнения Барбашина с частной производной второго порядка. Рассматриваемая задача эквивалентна интегральному уравнению Вольтерра с част- ными интегралами.
Калитвин Анатолий Семенович +1 more
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Regularity results for nonlocal fully nonlinear elliptic equations
Rang M. Regularity results for nonlocal fully nonlinear elliptic equations. Bielefeld: Universitätsbibliothek; 2013.In this thesis we consider nonlocal fully nonlinear elliptic operators derived from a certain class of linear integro-differential ...
Rang, Marcus
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A numerical approach to fractional Volterra-Fredholm integro-differential problems using shifted Chebyshev spectral collocation. [PDF]
Hamood MM, Sharif AA, Ghadle KP.
europepmc +1 more source
Analytical investigation of soliton propagation in conformable fractional-order transmission line metamaterials. [PDF]
Almetwally EM +5 more
europepmc +1 more source

