Solution of nonlinear Fredholm-Hammerstein integral equations by using semiorthogonal spline wavelets.
Lakestani, M., Razzaghi, M., Dehghan, M. (2005)
Mathematical Problems in Engineering
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Displaying similar documents to “Accurate numerical approximation of nonlinear fourth order Emden-Fowler type equations: A Haar based wavelet-collocation approach”
Solution of nonlinear Fredholm-Hammerstein integral equations by using semiorthogonal spline wavelets.
Application of periodized harmonic wavelets towards solution of eigenvalue problems for integral equations.
Cattani, Carlo, Kudreyko, Aleksey (2010)
Mathematical Problems in Engineering
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Solution of nonlinear Volterra-Hammerstein integral equations via rationalized Haar functions.
Razzaghi, M., Ordokhani, Y. (2001)
Mathematical Problems in Engineering
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Discrete differential operators in multidimensional Haar wavelet spaces.
Cattani, Carlo, Sánchez Ruiz, Luis M. (2004)
International Journal of Mathematics and Mathematical Sciences
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Construction of interval wavelet based on restricted variational principle and its application for solving differential equations.
Mei, Shu-Li, Lv, Hong-Liang, Ma, Qin (2008)
Mathematical Problems in Engineering
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Shannon wavelets for the solution of integrodifferential equations.
Cattani, Carlo (2010)
Mathematical Problems in Engineering
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Haar wavelet method for vibration analysis of nanobeams
M. Kirs, M. Mikola, A. Haavajõe, E. Õunapuu, B. Shvartsman, J. Majak (2016)
Waves, Wavelets and Fractals
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In the current study the Haar wavelet method is adopted for free vibration analysis of nanobeams. The size-dependent behavior of the nanobeams, occurring in nanostructures, is described by Eringen nonlocal elasticity model. The accuracy of the solution is explored. The obtained results are compared with ones computed by finite difference method. The numerical convergence rates determined are found to be in agreement with corresponding convergence theorems.
evaluation of the coefficients for PDE solving by wavelet-Galerkin approximation.
Popovici, Constantin I. (2010)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Wavelet method for option pricing under the two-asset Merton jump-diffusion model
Černá, Dana
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This paper examines the pricing of two-asset European options under the Merton model represented by a nonstationary integro-differential equation with two state variables. For its numerical solution, the wavelet-Galerkin method combined with the Crank-Nicolson scheme is used. A drawback of most classical methods is the full structure of discretization matrices. In comparison, the wavelet method enables the approximation of discretization matrices with sparse matrices. Sparsity is essential...
Comparison of wavelet approximation order in different smoothness spaces.
Islam, M.R., Ahemmed, S.F., Rahman, S.M.A. (2006)
International Journal of Mathematics and Mathematical Sciences
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Wavelet approximation methods for pseudodifferential equations: I. Stability and convergence.
W. Dahmen, S. Prössdorf, R. Schneider (1994)
Mathematische Zeitschrift
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The stability of collocation methods for higher-order Volterra integro-differential equations.
Rawashdeh, Edris, McDowell, Dave, Rakesh, Leela (2005)
International Journal of Mathematics and Mathematical Sciences
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Nonlinear Galerkin method in the finite difference case and wavelet-like incremental unknowns.
Min Chen, Roger Temam (1993)
Numerische Mathematik
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Application of the Haar wavelet method for solution the problems of mathematical calculus
Ü. Lepik, H. Hein (2015)
Waves, Wavelets and Fractals
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In recent times the wavelet methods have obtained a great popularity for solving differential and integral equations. From different wavelet families we consider here the Haar wavelets. Since the Haar wavelets are mathematically most simple to be compared with other wavelets, then interest to them is rapidly increasing and there is a great number of papers,where thesewavelets are used tor solving problems of calculus. An overview of such works can be found in the survey paper by Hariharan...