Some implications of a new definition of the exponential function on time scales
, 2010 We present a new approach to exponential functions on time scales and to timescale analogues of ordinary differential equations. We describe in detail the Cayley-exponential function and associated trigonometric and hyperbolic functions. We show that the
Cieśliński, Jan L.
core
New definitions of exponential, hyperbolic and trigonometric functions on time scales
, 2010 We propose two new definitions of the exponential function on time scales. The first definition is based on the Cayley transformation while the second one is a natural extension of exact discretizations.
Cieslinski, Jan L.
core
F-actin bending facilitates net actomyosin contraction By inhibiting expansion with plus-end-located myosin motors. [PDF]
J Math Biol, 2022 Tam AKY, Mogilner A, Oelz DB.
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On the exact discretization of the classical harmonic oscillator equation
, 2009 We discuss the exact discretization of the classical harmonic oscillator equation (including the inhomogeneous case and multidimensional generalizations) with a special stress on the energy integral.
Cieslinski, Jan L.
core
Opposing flows in a one dimensional convection-diffusion problem
Open Mathematics, 2012 O’Riordan Eugene
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Solving third-order boundary value problems with quartic splines. [PDF]
Springerplus, 2016 Pandey PK.
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Fast permutation preconditioning for fractional diffusion equations. [PDF]
Springerplus, 2016 Wang SF, Huang TZ, Gu XM, Luo WH.
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Numerical investigation of singularly perturbed time lag parabolic differential-difference equations. [PDF]
HeliyonDaba IT, Melesse WG, Gelu FW, Kebede GD.
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Finite difference spectral collocation schemes for the solutions of boundary value problems. [PDF]
HeliyonAdewumi AO +4 more
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