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Solution of the Poisson equation by differential quadrature. (English) Zbl 0512.65078

MSC:
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
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[1] Bellman, J. Comp. Phys. 10 pp 40– (1972)
[2] ’Solution of transport phenomena type models by the method of differential quadratures’, Ph.D. dissert., Univ. of Oklahoma (1978).
[3] and , ’Application of differential quadrature to transport processes’, J. Math. Anal. Appl., to be published. · Zbl 0538.65084
[4] and , Computer Solution of Linear Algebraic Systems, sect. 17, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1967.
[5] Numerical Methods for Scientists and Engineers, 2nd edn, McGraw-Hill, New York, 1973, p. 124.
[6] Mingle, Int. J. num. Meth. Engng 7 pp 103– (1973)
[7] Ramadhyani, Int. J. num. Meth. Engng 15 pp 1395– (1980)
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