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Extended two-dimensional DTM and its application on nonlinear PDEs with proportional delay. (English) Zbl 1232.35012
The existing two-dimensional differential transform methods and their reduced form are extended to derive solutions to a large class of partial differential equations with proportional delay in time and shrinking in space. Some examples are presented to illustrate the main results and the power of the methods.
MSC:
35A22Transform methods (PDE)
35R10Partial functional-differential equations
60H20Stochastic integral equations
60J45Probabilistic potential theory