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Cited by 16 publications
(10 citation statements)
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“…The exact solution of this equation is given by the fourth order polynomial Another point of interest in estimating the error is the influence of the scaling function g(x) = (∂ x φ(x)) −λ introduced in the class collocation. Due to the discussion in the literature [9,11,12], the scaling function is useful to symmetrize the numerical schemes. We examined different scaling exponents λ to see how the different scaling properties influence the error in a Sinc collocation calculation.…”
Section: Convergence Of the Collocation Methodsmentioning
confidence: 99%
“…The exact solution of this equation is given by the fourth order polynomial Another point of interest in estimating the error is the influence of the scaling function g(x) = (∂ x φ(x)) −λ introduced in the class collocation. Due to the discussion in the literature [9,11,12], the scaling function is useful to symmetrize the numerical schemes. We examined different scaling exponents λ to see how the different scaling properties influence the error in a Sinc collocation calculation.…”
Section: Convergence Of the Collocation Methodsmentioning
confidence: 99%
“…where for the last two equalities we used (14) and (16). For later convenience, we remark that independently of the BCs, a nn satisfies…”
Section: The Matrices a N And B Nmentioning
confidence: 99%
“…Similarly to the SESCM, we approximate the solution v(x) of (12) by the truncated Sinc expansion (5).…”
Section: Definitions and Basic Propertiesmentioning
confidence: 99%