Application of the Method of Fractional Steps to Boundary Value Problems for Laplace’s and Poisson’s Equations

N. N. Yanenko
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N. N. Yanenko: U.S.S.R. Academy of Sciences, Siberian Branch Computing Center

Chapter Chapter 4 in The Method of Fractional Steps, 1971, pp 54-81 from Springer

Abstract: Abstract Consider the Dirichlet problem in the rectangular region G 4.1.1 $$\frac{{{\partial ^2}u}}{{\partial x_1^2}} + \frac{{{\partial ^2}u}}{{\partial x_2^2}} = 0$$ 4.1.2 $$u\left( {{x_1},{x_2}} \right) = f\left( {{x_1},{x_2}} \right),\,\left( {{x_1},{x_2}} \right) \in \gamma ,$$ where γ is the boundary G, G = {0

Date: 1971
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DOI: 10.1007/978-3-642-65108-3_4

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