A boundary integral equation method for the two-dimensional diffusion equation subject to a non-local condition
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TL;DR: In this paper, a boundary integral equation method is proposed for numerical solution of the two-dimensional diffusion equation subject to a non-local condition, which is in the form of a double integral giving the specification of mass in a region which is a subset of the solution domain.
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Abstract: A boundary integral equation method is proposed for the numerical solution of the two-dimensional diffusion equation subject to a non-local condition The non-local condition is in the form of a double integral giving the specification of mass in a region which is a subset of the solution domain A specific test problem is solved using the method
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Citations
A numerical solution for non-classical parabolic problem based on Chebyshev spectral collocation method
Ahmad Golbabai,M. Javidi +1 more
TL;DR: A numerical method based on Chebyshev polynomials and local interpolating functions is proposed for solving the one-dimensional parabolic partial differential equation subject to non-classical conditions.
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A time-stepping dual-reciprocity boundary element method for anisotropic heat diffusion subject to specification of energy
TL;DR: A two-dimensional problem which requires determining the non-steady temperature distribution in a thermally anisotropic body and a temperature control function on a certain part of the boundary (of the body) given that the total amount of heat energy in the body is known at all time is considered.
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Meshless Local Integral Equations Formulation for the 2D Convection-Diffusion Equations with a Nonlocal Boundary Condition
TL;DR: In this article, a meshless method based on the meshless local integral equation (LIE) method for solving the two-dimensional diffusion and diffusion-convection equations subject to a non-local condition is presented.
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A dual-reciprocity boundary element approach for solving axisymmetric heat equation subject to specification of energy.
Whye-Teong Ang,Ean Hin Ooi +1 more
TL;DR: In this article, a dual-reciprocity boundary element procedure is presented for the numerical solution of an axisymmetric heat conduction problem subject to a non-local condition.
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The Determination Of A Control Parameter In A Two-Dimensional Diffusion Equation Using A Dual-Reciprocity Boundary Element Method
TL;DR: A time-stepping dual-reciprocity boundary element method is proposed for solving approximately an inverse problem of determining an unknown control parameter p(t) which is the coefficient of the solution u(x,y,t) in a diffusion equation in a two-dimensional region R .
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References
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The method of fundamental solutions and quasi‐Monte‐Carlo method for diffusion equations
TL;DR: In this article, the Laplace transform is applied to remove the time-dependent variable in the diffusion equation for nonharmonic initial conditions, which gives rise to a non-homogeneous modified Helmholtz equation which is solved by the method of fundamental solutions.
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