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Generalised Kolmogorov-Petrovskii-Piskunov equation of fractional order: Power series and shifted Legendre collocation methods

Partial Differential Equations in Applied Mathematics
The classical Kolmogorov-Petrovskii-Piskunov (KPP) equation describes physical phenomena such as combustion, chemical reaction, evolution of dominant genes, and propagation of nerve pulses.
Richard Olu Awonusika, Abayomi Samuel Oke +1 more
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An adaptive stepsize algorithm for the numerical solving of initial-value problems

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015
The present paper focuses on the efficient numerical solving of initial-value problems (IVPs) using digital computers and one-step numerical methods. We start from considering that the integration stepsize is the crucial factor in determining the number ...
Militaru Romulus
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Analysis of new mathematical model for rabies through wavelet method

Frontiers in Applied Mathematics and Statistics
Rabies is a fatal zoonotic disease caused by a virus, primarily spread through bites or saliva. Dogs are the main source of human infections worldwide.
R. Yeshwanth, S. Kumbinarasaiah, Sharanjeet Dhawan +2 more
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A fractional-order model for the effects of expansions in hospitals on the applicability of performance certificate programme

Applied Mathematics in Science and Engineering
This study explores the impact of the Leadership in Energy and Environmental Design (LEED) certification system on healthcare services in private hospitals in North Cyprus using a fractional-order system of equations.
Beyhan Kara +5 more
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Generalizations and error analysis of the iterative operator splitting method

Open Mathematics, 2013
Ladics Tamás, Faragó István
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Richardson Extrapolation combined with the sequential splitting procedure and the θ-method