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Abstract The higher order 3-D fundamental solutions to the Helmholtz and the modified Helmholtz equations have been derived. The Lth order fundamental solution for the 3-D Helmholtz equation has the form of a spherical Bessel function multiplied by a distance to the power L.
Masafumi Itagaki
exaly +2 more sources
Tikhonov type regularization method for the Cauchy problem of the modified Helmholtz equation
Applied Mathematics and Computation, 2008The authors cast the ill-posed Cauchy problem for a modified Helmholtz equation into a Hausdorff moment problem and solve it by a Tikhonov type regularization method. Error estimates, convergence analysis as well as some numerical experiments are carried out.
H. H. Qin, D. W. Wen
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A Fast Solver for Boundary Integral Equations of the Modified Helmholtz Equation
Journal of Scientific Computing, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rui Wang, Xiangling Chen
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A Modified Method for a Cauchy Problem of the Helmholtz Equation
Bulletin of the Malaysian Mathematical Sciences Society, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qin, Haihua, Lu, Jingmei
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