2012
DOI: 10.1007/s12043-011-0243-8
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A highly accurate method to solve Fisher’s equation

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Cited by 42 publications
(49 citation statements)
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“…In a recent study, Bastani et al considered families of equations of the reaction diffusion type that are similar to Fisher's equation . Such families are described by the equation U t = 2 U x 2 + f ( U ) , where f ( U ) is given by the particular phenomenon to be studied.…”
Section: Results Of the Numerical Simulationmentioning
confidence: 99%
See 1 more Smart Citation
“…In a recent study, Bastani et al considered families of equations of the reaction diffusion type that are similar to Fisher's equation . Such families are described by the equation U t = 2 U x 2 + f ( U ) , where f ( U ) is given by the particular phenomenon to be studied.…”
Section: Results Of the Numerical Simulationmentioning
confidence: 99%
“…In this work, three different numerical experiments were considered to show the advantages of our proposed method. To begin with, a comparison between the explicit Chebyshev Multidomain Pseudospectral (CMD) method used in , the CFD6 method developed by Bastani and the ICMD method developed here, is presented to compare their performance for a fixed number of points and time step τ . Our interest is to see how the solution of ICMD behaves respect to the explicit solution of CMD.…”
Section: Results Of the Numerical Simulationmentioning
confidence: 99%
“…To ensure the accuracy of the proposed numerical techniques, the thermal wave propagating model is solved using presented methods and compared with the available analytical solution [14,20]. Consider a one-dimensional problem of thermal wave propagation along x-direction as: …”
Section: Results and Discussion For One Dimension Analysismentioning
confidence: 99%
“…To ensure the accuracy of the proposed block marching technique, the thermal wave propagating model is solved using presented method and compared with the available analytical solution [15,21] and also compared with the hybrid technique of differential quadrature method and Runge-Kutta fourth order method [15].…”
Section: Resultsmentioning
confidence: 99%