Concepedia

Differential quadrature method (DQM) and Boubaker Polynomials Expansion Scheme (BPES) for efficient computation of the eigenvalues of fourth-order Sturm–Liouville problems

Uğur Yücel, Karem Boubaker

Applied Mathematical Modelling · 2011 · 38 citations · 33 references

Concepts

Natural SciencesPhysicsDifferential EquationsApproximation MethodsEigenvalue ProblemsNumerical AnalysisNumerical Methods For Differential EquationsSpectral TheoryEigenfunction ExpansionsHigh-order Numerical SchemesQuadrature RulesQuadrature TheorySpectral ConvergenceSturm - Liouville TheorySturm-liouville Theory

References

33

Differential quadrature: A technique for the rapid solution of nonlinear partial differential equations

Richard Bellman, B. G. Kashef, John L. Casti · Journal of Computational Physics · 1972 · 1.3K citations

Natural Sciences, Mathematics, Differential Equations +11

Application of generalized differential quadrature to solve two‐dimensional incompressible Navier‐Stokes equations

C. Shu, B. E. Richards · International Journal for Numerical Methods in Fluids · 1992 · 838 citations

Natural Sciences, Computational Engineering, Computational Fluid Dynamics +9

Implementation of clamped and simply supported boundary conditions in the GDQ free vibration analysis of beams and plates

C. Shu, Hejun Du · International Journal of Solids and Structures · 1997 · 235 citations

Engineering, Mechanical Engineering, Structural Analysis +13

Mathematical software for Sturm-Liouville problems

Steven Pruess, Charles T. Fulton · ACM Transactions on Mathematical Software · 1993 · 134 citations · Full text

Natural Sciences, Physics, Computational Mechanics +15

Automatic Solution of the Sturm-Liouville Problem

Paul B. Bailey, Marilyn K. Gordon, L. F. Shampine · ACM Transactions on Mathematical Software · 1978 · 118 citations

Natural Sciences, Mathematics, Algorithms +8