A numerical solution of second-order linear partial differential equations by differential transform

2006 ◽  
Vol 173 (2) ◽  
pp. 792-802 ◽  
Author(s):  
Xiaofan Yang ◽  
Yaoxin Liu ◽  
Sen Bai
1980 ◽  
Vol 29 (4) ◽  
pp. 454-461
Author(s):  
A. Azzam ◽  
E. Kreyszig

AbstractWe establish a method of constructing kernels of Bergman operators for second-order linear partial differential equations in two independent variables, and use the method for obtaining a new class of Bergman kernels, which we call modified class E kernels since they include certain class E kernals. They also include other kernels which are suitable for global representations of solutions (whereas Bergman operators generally yield only local representations).


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