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Husniddin Khayrullaev, Issa Omle and Endre Kovács
We systematically investigate the performance of numerical methods to solve Fisher?s equation, which contains a linear diffusion term and a nonlinear logistic term. The usual explicit finite difference algorithms are only conditionally stable for this eq...
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Humam Kareem Jalghaf, Issa Omle and Endre Kovács
Calculating heat transfer in building components is an important and nontrivial task. Thus, in this work, we extensively examined 13 numerical methods to solve the linear heat conduction equation in building walls. Eight of the used methods are recently ...
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Ali Habeeb Askar, Issa Omle, Endre Kovács and János Majár
Based on many previous experiments, the most efficient explicit and stable numerical method to solve heat conduction problems is the leapfrog-hopscotch scheme. In our last paper, we made a successful attempt to solve the nonlinear heat conduction?convect...
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