Numerical integration method for triple integrals using the second kind Chebyshev wavelets and Gauss–Legendre quadrature
Journal Article
·
· Computational and Applied Mathematics
- East China University of Technology, School of Science (China)
In this paper, a computational method combining the second kind Chebyshev wavelets and Gauss–Legendre quadrature is proposed for numerical integrations of arbitrary functions over regions like cuboid, tetrahedron, cylinder, cone, paraboloid and ellipsoid. Gauss–Legendre quadrature is used to convert a triple integral into a double integral and integral regions are transformed to the standard integration region by linear and nonlinear transformation. Moreover, convergence and accuracy estimation of the second kind Chebyshev wavelets expansion of two dimensions is given. Illustrative examples have been demonstrated to show the applicability and accuracy of the present method.
- OSTI ID:
- 22769285
- Journal Information:
- Computational and Applied Mathematics, Journal Name: Computational and Applied Mathematics Journal Issue: 3 Vol. 37; ISSN 0101-8205
- Country of Publication:
- United States
- Language:
- English
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