Improved numerical solutions for chaotic-cancer-model | Zendy

Muhammad Yasir | Zendy; Salman Ahmad | Zendy; Faizan Ahmed | Zendy; Muhammad Aqeel | Zendy; Muhammad Zubair Akbar | Zendy

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Improved numerical solutions for chaotic-cancer-model

Author(s) -

Muhammad Yasir,

Salman Ahmad,

Faizan Ahmed,

Muhammad Aqeel,

Muhammad Zubair Akbar

Publication year - 2017

Publication title -

aip advances

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.421

H-Index - 58

ISSN - 2158-3226

DOI - 10.1063/1.4974881

Subject(s) - discretization , chaotic , phase portrait , convergence (economics) , mathematics , nonlinear system , sensitivity (control systems) , work (physics) , relaxation (psychology) , computer science , statistical physics , mathematical optimization , physics , mathematical analysis , bifurcation , thermodynamics , artificial intelligence , psychology , social psychology , quantum mechanics , electronic engineering , engineering , economics , economic growth

In biological sciences, dynamical system of cancermodel is wellknown due to its sensitivity and chaoticity. Present work provides detailed computationalstudy of cancermodel bycounterbalancing its sensitive dependency on initial conditions and parameter values.Cancer chaoticmodel isdiscretized into a system of nonlinear equations that are solved using the well-knownSuccessive-Over-Relaxation (SOR) method with a proven convergence. This technique enablesto solve large systems and provides more accurate approximation which is illustratedthrough tables, time history maps and phase portraits with detailed analysis

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