A Higher Order Numerical Scheme for Some Nonlinear Differential Equations: Models in Biology

DOI10.1080/15502287.2011.564265zbMath1238.65093OpenAlexW2078664805MaRDI QIDQ3118300

Ram Jiwari, Ramesh Chand Mittal

Publication date: 2 March 2012

Published in: International Journal for Computational Methods in Engineering Science and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/15502287.2011.564265

zbMATH Keywords

stabilityconvergencenumerical exampleserror boundsquasilinearizationRunge-Kutta methodsemi-discretizationdifferential quadrature methodMurray equationFisher and Burgers' equationsRunge-Kutta RK4 scheme

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Physiological flow (92C35)

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Cites Work

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