Fictitious Time Integration Method of Fundamental Solutions with Chebyshev Polynomials for Solving Poisson-type Nonlinear PDEs [PDF]
Computer Modeling in Engineering & Sciences, 2010 The fictitious time integration method (FTIM) previously developed by Liu and Atluri (2008a) is combined with the method of fundamental solutions and the Chebyshev polynomials to solve Poisson-type nonlinear PDEs. The method of fundamental solutions with Chebyshev polynomials (MFS-CP) is an exponentially-convergent meshless numerical method which is ...
Tsai, Chia-Cheng +2 more
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On Mean Value formulas for solutions to second order linear PDEs [PDF]
, 2021 In this paper we give a general proof of Mean Value formulas for solutions to second order linear PDEs, only based on the local properties of their fundamental solution Gamma.
Lanconelli, E, Cupini, G
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On the crest factor and its relevance in detecting turbulent behaviour in solutions of partial differential equations [PDF]
, 2022 In this work we investigate the connection between two fundamental features of solutions of partial differential equations (PDEs), namely the crest factor and the length scale associated to each solution.
Bartuccelli, Michele V, Gentile, Guido
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Alexandria Engineering Journal, 2023 In many applications, hybrid nanofluids showed superior heat transfer outcomes; nevertheless, further study is needed to expand the range of applications for hybrid nanofluids.
Nur Syahirah Wahid +3 more
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Initial and boundary value problems in two and three dimensions [PDF]
, 2010 This thesis: (a) presents the solution of several boundary value problems (BVPs) for the Laplace and the modified Helmholtz equations in the interior of an equilateral triangle; (b) presents the solution of the heat equation in the interior of an ...
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Frontiers in Physics, 2023 Fractional calculus is a branch of mathematics that develops from the usual definitions of calculus integral and derivative operators, just as fractional exponents emerge from integer exponents.
Shafiq Ahmad +4 more
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Fundamental solutions, transition densities and the integration of Lie symmetries [PDF]
, 2009 In this paper we present some new applications of Lie symmetry analysis to problems in stochastic calculus. The major focus is on using Lie symmetries of parabolic PDEs to obtain fundamental solutions and transition densities.
Mark Craddock +2 more
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Global Dynamics of an HTLV-I and SARS-CoV-2 Co-Infection Model with Diffusion
Mathematics, 2023 Severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) is a novel respiratory virus that causes coronavirus disease 2019 (COVID-19). Symptoms of COVID-19 range from mild to severe illness.
Ahmed M. Elaiw +3 more
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Domain decomposition methods with fundamental solutions for Helmholtz problems with discontinuous source terms [PDF]
, 2018 The direct application of the classical method of fundamental solutions (MFS) is restricted to homogeneous linear partial differential equations (PDEs).
Martins, Nuno F. M. +2 more
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Probabilistic solutions of fractional differential and partial differential equations and their Monte Carlo simulations [PDF]
, 2022 The work in this paper is four-fold. Firstly, we introduce an alternative approach to solve fractional ordinary differential equations as an expected value of a random time process.
Suazo, Erwin +2 more
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