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A Kansa Type Method Using Fundamental Solutions Applied to Elliptic PDEs
2007A Kansa type modification of the Method of Fundamental Solutions (MFS) is presented. This allows us to apply the MFS to a larger class of elliptic problems. In the case of inhomogeneous problems we reduce to a single linear system, contrary to previous methods where two linear systems are solved, one for the particular solution and one for the ...
Carlos J. S. Alves, Svilen S. Valtchev
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Nonlinear Pantograph-Type Diffusion PDEs: Exact Solutions and the Principle of Analogy
Mathematics, 2021A D Polyanin, Vsevolod G Sorokin
exaly
Methods for Constructing Complex Solutions of Nonlinear PDEs Using Simpler Solutions
Mathematics, 2021Alexander V Aksenov, A D Polyanin
exaly
A method for constructing exact solutions of nonlinear delay PDEs
Journal of Mathematical Analysis and Applications, 2021A D Polyanin, Vsevolod G Sorokin
exaly
Reductions and Exact Solutions of Nonlinear Wave-Type PDEs with Proportional and More Complex Delays
Mathematics, 2023A D Polyanin, Vsevolod G Sorokin
exaly
Exact Solutions of Reaction–Diffusion PDEs with Anisotropic Time Delay
Mathematics, 2023A D Polyanin, Vsevolod G Sorokin
exaly
New exact solutions of nonlinear wave type PDEs with delay
Applied Mathematics Letters, 2020A D Polyanin, Vsevolod G Sorokin
exaly
On viscosity solutions of path dependent PDEs
Annals of Probability, 2014Ibrahim Ekren +2 more
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Viscosity solutions of fully nonlinear parabolic path dependent PDEs: Part I
Annals of Probability, 2016Ibrahim Ekren +2 more
exaly

