On the Exact Solution of Time-Fractional (2 + 1) Dimensional Konopelchenko–Dubrovsky Equation
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Applied and Computational Mathematics"
DOI: 10.1007/s40819-019-0678-z
Abstract: The analysis of nonlinear equations performs a significant part in examining the physical phenomena. In this article, the exact solution of time-fractional (2 + 1) dimensional Konopelchenko–Dubrovsky equation (KDE) has been derived by utilising the Kudryashov method.… read more here.
Keywords: solution time; time fractional; exact solution; fractional dimensional ... See more keywords
Numerical solution of time-dependent stochastic partial differential equations using RBF partition of unity collocation method based on finite difference
Sign Up to like & getrecommendations! Published in 2019 at "Engineering Analysis with Boundary Elements"
DOI: 10.1016/j.enganabound.2019.03.013
Abstract: Abstract Meshfree methods based on radial basis functions (RBFs) are popular tools for the numerical solution of stochastic partial differential equations (SPDEs) due to their nice properties. However, the RBF collocation methods in global view… read more here.
Keywords: solution time; collocation; method; numerical solution ... See more keywords
Convergent Born series improves the accuracy of numerical solution of time-independent photoacoustic wave equation
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Modern Optics"
DOI: 10.1080/09500340.2020.1777334
Abstract: This work presents two variants of Born-series methods, for the first time, providing a numerical solution to the time-independent photoacoustic wave equation. These methods are effective in providing accurate solution even when there is a… read more here.
Keywords: numerical solution; born series; solution; solution time ... See more keywords
Analytical Approaches for Approximate Solution of the Time-Fractional Coupled Schrödinger-KdV Equation
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DOI: 10.3390/sym14122602
Abstract: In this article, we use the homotopy perturbation method and the Adomian decomposition method with the Yang transformation to discover analytical solution to the time-fractional coupled Schrödinger–KdV equation. In the Caputo sense, fractional derivatives are… read more here.
Keywords: coupled schr; solution time; time fractional; dinger kdv ... See more keywords
On the regularity of solution to the time-dependent p-Stokes system
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DOI: 10.7494/opmath.2020.40.1.49
Abstract: In this paper we consider the time evolutionary \(p\)-Stokes problem in a smooth and bounded domain. This system models the unsteady motion or certain non-Newtonian incompressible fluids in the regime of slow motions, when the… read more here.
Keywords: system; regularity solution; time; time dependent ... See more keywords