The Control Problem for a Heat Conduction Equation with Neumann Boundary Condition
Vestnik KRAUNC: Fiziko-Matematičeskie NaukiPreviously, boundary control problems for a heat conduction equation with Dirichlet boundary condition were studied in a bounded domain. In this paper, we consider the boundary control problem for the heat conduction equation with Neumann boundary ...
Dekhkonov, F.N.
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Numerical solution of nonlinear Volterra-Fredholm integral equations of the first kind using alternative Legendre polynomials [PDF]
, 2021 Sohrab Bazm, Alireza Hosseini
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On an asymptotic property of a Volterra integral equation [PDF]
, 1971 A. F. Izé
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On the Weak Solutions of a Delay Composite Functional Integral Equation of Volterra-Stieltjes Type in Reflexive Banach Space [PDF]
, 2022 A. M. A. El-Sayed +1 more
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A Singular Nonlinear Volterra Integral Equation
Journal of Integral Equations and Applications, 1993 Many problems in Applied Mathematics lead to the study of the nonlinear partial differential equation \(u_ t = (a(u))_{xx} + (b(u))_ x + c(u)\). The interest in the existence of travelling-wave solutions of the form \(U(x,t) = U(\psi)\), \(\psi = x - \lambda t\), originates an ordinary differential equation from which arise integral equations of the ...
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Multistep collocation methods for weakly singular Volterra integral equations with application to fractional differential equations [PDF]
, 2014 D. Nazari Susahab, S. Shahmorad
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Қарағанды университетінің хабаршысы. Математика сериясы, 2020 The article considers a homogeneous boundary - value problem for the heat equation in the non - cylindrical domain, namely, in an inverted pyramid with a vertex at the origin of coordinates, two faces of which lie in coordinate planes.A solution to the ...
M.T. Kosmakova +4 more
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Jacobi spectral collocation method for the approximate solution of multidimensional nonlinear Volterra integral equation. [PDF]
Springerplus, 2016 Wei Y, Chen Y, Shi X, Zhang Y.
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Midpoint methods for a Volterra integral equation with non-smooth solutions
, 2012 Ali Salimi Shamloo +1 more
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