An integro-differential parabolic problem with an integral boundary condition

DOI10.1016/j.mcm.2009.03.002zbMath1185.45013OpenAlexW2042971657MaRDI QIDQ969858

Dhirendra Bahuguna, Jaydev Dabas

Publication date: 8 May 2010

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2009.03.002

zbMATH Keywords

weak solutionmethod of linesintegro-differential equation

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (8)

On the existence of a local solution for an integro-differential equation with an integral boundary condition ⋮ Solving 2D-integro-differential problems with nonlocal boundary conditions via a matrix formulated approach ⋮ Solving nonlocal initial-boundary value problems for parabolic and hyperbolic integro-differential equations in reproducing kernel hilbert space ⋮ Time-discretization schema for an integrodifferential Sobolev type equation with integral conditions ⋮ Existence and uniqueness of generalized solutions to a telegraph equation with an integral boundary condition via Galerkin's method ⋮ Galerkin method applied to telegraph integro-differential equation with a weighted integral condition ⋮ An efficient collocation algorithm for multidimensional wave type equations with nonlocal conservation conditions ⋮ Unnamed Item

Cites Work

• On a time-discretization method for a semilinear heat equation with purely integral conditions in a nonclassical function space
• Remarks on a semilinear heat equation with integral boundary conditions
• Partial functional differential equation with an integral condition and applications to population dynamics
• Diffusion subject to the specification of mass
• Rothe method for a mixed problem with an integral condition for the two-dimensional diffusion equation
• Rothe time-discretization method for a nonlocal problem arising in thermoelasticity
• Rothe’s method to parabolic integra-differential equations via abstract integra-differential equations
• A Galerkin Procedure for the Diffusion Equation Subject to the Specification of Mass
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