Fully Discrete Galerkin Method For Fredholm Integro-Differential Equations With Weakly Singular Kernels
2008 ◽
Vol 8
(3)
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pp. 294-308
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Keyword(s):
Abstract Approximations to a solution and its derivatives of a boundary value problem of an nth order linear Fredholm integro-differential equation with weakly sin-gular or other nonsmooth kernels have been determined. These approximations are piecewise polynomial functions on special graded grids. To find them, a fully discrete version of the Galerkin method has been constructed. This version is based on a dis-crete inner product concept and some suitable product integration techniques. Optimal global convergence estimates have been derived and a collection of numerical results of a test problem is given.
2008 ◽
Vol 8
(3)
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pp. 207-222
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2011 ◽
Vol 16
(1)
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pp. 153-172
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2018 ◽
Vol 44
(5)
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pp. 1601-1626
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Keyword(s):
A fully discrete Galerkin method for high frequency exterior acoustic scattering in three dimensions
2011 ◽
Vol 230
(1)
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pp. 104-125
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Keyword(s):
Keyword(s):
2008 ◽
Vol 213
(1)
◽
pp. 111-126
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Keyword(s):
1979 ◽
Vol 44
(10)
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pp. 2908-2914
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