ISSN:
1588-2829
Keywords:
Primary 65M99
;
Secondary 44A40
;
Operational calculus
;
application
;
partial differential equation
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract Applying Bittner's operational calculus we present a method to give approximate solutions of linear partial differential equations of first order $$\mathop \sum \limits_{i = 1}^n b_i \frac{{\partial u(x_1 ,x_2 , \ldots ,x_n )}}{{\partial x_i }} = f(x_1 ,x_2 , \ldots ,x_n )$$ with real coefficients and with condition $$u(x_1 ,x_2 , \ldots ,x_{n - 1,} x_n^0 ) = \varphi (x_1 ,x_2 , \ldots ,x_{n - 1,} ).$$
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01946382
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