Legendre expansion method for the solution of the second- and fourth-order elliptic equations

Mathematics and Computers in Simulation

Volumn 59, Issue 5, 2002, Pages 389-399

  Elbarbary, Elsayed M E ^a,b  

^a Ain Shams University   (Egypt)

^b Al Jouf Teacher College   (Saudi Arabia)

Author keywords

Biharmonic equations; Helmholtz equation; Legendre polynomials; Spectral methods

Indexed keywords

BOUNDARY CONDITIONS; EIGENVALUES AND EIGENFUNCTIONS; POLYNOMIALS; PROBLEM SOLVING;

LEGENDRE POLYNOMIALS;

DIFFERENTIAL EQUATIONS;

EID: 0037097068     PISSN: 03784754     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4754(01)00421-9     Document Type: Article

References (14)

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4. Numerical analysis of spectral methods: Theory and applications
5. A note on the chebyshev coefficients of the general-order derivative of an infinitely differentiable function
6. On the coefficients of differentiated expansions of an ultraspherical polynomials
7. Chebyshev polynomials in the numerical solution of differential equations
8. On the legendre coefficients of a general-order derivative of an infinitely differentiable function
9. On the coefficients of integrated expansions of ultraspherical polynomials
10. Efficient spectral-Galerkin method. II. Direct solver of second-and fourth-order equations using Chebeshev polynomials
11. Efficient spectral-Galerkin method. I. Direct solver of second-and fourth-order equations using Legendre polynomials