Results 1 to 10 of about 1,690 (203)
Generalized quasilinearization method for nonlinear boundary value problems with integral boundary conditions [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2010 The quasilinearization method coupled with the method of upper and lower solutions is used for a class of nonlinear boundary value problems with integral boundary conditions. We obtain some less restrictive sufficient conditions under which corresponding
Li Sun, Mingru Zhou, Guangwa Wang
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Quasilinearization Method and Summation of the WKB Series [PDF]
Physics Letters A, 2004 Solutions obtained by the quasilinearization method (QLM) are compared with the WKB solutions. Expansion of the $p$-th QLM iterate in powers of $\hbar$ reproduces the structure of the WKB series generating an infinite number of the WKB terms with the ...
Bellman +22 more
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Second-order robust finite difference method for singularly perturbed Burgers' equation [PDF]
Heliyon, 2022 In this paper, a second-order robust method for solving singularly perturbed Burgers' equation were presented. To find the numerical approximation, we apply the quasilinearization technique before formulation of the scheme.
Masho Jima Kabeto, Gemechis File Duressa
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Method of the quasilinearization for nonlinear impulsive differential equations with linear boundary conditions [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2002 The method of quasilinearization for nonlinear impulsive differential equations with linear boundary conditions is studied. The boundary conditions include periodic boundary conditions. It is proved the convergence is quadratic.
Paul Eloe, S.G. Hristova
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Note on the abstract generalized quasilinearization method
Journal of Numerical Analysis and Approximation Theory, 2006 The abstract generalized quasilinearization method established in [2] for ordered Banach spaces with regular or normal cone and continuous mappings is revisited for strongly minihedral cones and (o)-continuous operators.
Adriana Buică, Radu Precup
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Modification of the Quasilinearization Method for the Inverse Problem [PDF]
International Journal of Mathematics and Mathematical Sciences, 2007 We propose a new modification of Bellman's quasilinearization method such that at any iteration step, it works with an approximate solution of the original nonlinear system and with new approximation of parameters α(k+1) which are close enough to the ...
Lenka Celechovská-Kozáková
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New Results on the Quasilinearization Method for Time Scales
MathematicsWe have developed the generalized quasilinearization method (QM) for an initial value problem (IVP) of dynamic equations on time scales by using comparison theorems with a coupled lower solution (LS) and upper solution (US) of the natural type.
Şahap Çetin +2 more
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Effect of Cattaneo-Christov Heat Flux on Radiative Hydromagnetic Nanofluid Flow between Parallel Plates using Spectral Quasilinearization Method [PDF]
Journal of Applied and Computational Mechanics, 2022 In this paper, we numerically solve the equations for hydromagnetic nanofluid flow past semi-infinite parallel plates where thermal radiation and a chemical reaction are assumed to be present and significant.
Mangwiro Magodora +2 more
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Boundary Value Problems, 2006 The method of generalized quasilinearization for second-order boundary value problems has been extended when the forcing function is the sum of 2 -hyperconvex and 2 -hyperconcave functions.
A. S. Vatsala, Tanya G. Melton
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Quasilinearization method and WKB [PDF]
Computer Physics Communications, 2006 Solutions obtained by the quasilinearization method (QLM) are compared with the WKB solutions. While the WKB method generates an expansion in powers of h, the quasilinearization method (QLM) approaches the solution of the nonlinear equation obtained by casting the Schroedinger equation into the Riccati form by approximating nonlinear terms by a ...
Krivec, R., Mandelzweig, V. B.
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