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Academic Journals
- 397
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From:Bulletin of the Belgian Mathematical Society - Simon Stevin (Vol. 18, Issue 3) Peer-ReviewedThe paper deals with infinite weakly coupled systems of quasilinear parabolic differential functional equations. Initial boundary conditions of the Robin type are considered. We construct an explicit Euler type...
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From:Science (Vol. 228) Peer-ReviewedNewton established modern mathematical physics in 1687 with the publication of his Philosophiae Naturalis Principia Mathematica, in which he showed how infinitesimal calculus could be used as the fundamental...
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From:ACM Transactions on Mathematical Software (Vol. 24, Issue 1) Peer-ReviewedPELLPACK is a software program that creates a problem-solving environment to model physical objects described by partial differential equations. This program can be broadly applied to one-, two-, or three-dimensional...
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From:International Journal of Differential Equations (Vol. 2017) Peer-ReviewedA hybrid algorithm and regularization method are proposed, for the first time, to solve the one-dimensional degenerate inverse heat conduction problem to estimate the initial temperature distribution from point...
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From:Science (Vol. 286, Issue 5449) Peer-ReviewedSince the invention of quantum mechanics, even the simplest example of the collisional breakup of a system of charged particles, [e.sup.-] + H [right arrow] [H.sup.+] + [e.sup.-] + [e.sup.-] (where [e.sup.-] is an...
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From:International Journal of Mathematics and Mathematical SciencesPeer-ReviewedWe study the backward problem with time-dependent coefficient which is a severely ill-posed problem. We regularize this problem by combining quasi-boundary value method and quasi-reversibility method and then obtain...
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From:Mathematical Problems in EngineeringPeer-ReviewedElectrochemical double-layer capacitors (EDLC), also known as supercapacitors or ultracapacitors, are devices in which diffusion phenomena play an important role. For this reason, their modeling using integer-order...
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From:Proceedings of the Estonian Academy of Sciences (Vol. 59, Issue 2) Peer-ReviewedIntegrable variable-coefficient 2D Toda lattice equations are proposed by utilizing a generalized version of the dressing method. Compatibility conditions are given, which ensures that these equations are integrable....
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From:Mathematical Problems in Engineering (Vol. 2020) Peer-ReviewedIn this study, experimental and numerical investigations on the vibration characteristics of a drill pipe during the lowering of a subsea Xmas tree were presented. A fourth-order partial differential equation with...
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From:Canadian Journal of Physics (Vol. 89, Issue 7) Peer-ReviewedIn this work we study an extended Kadomtsev-Petviashvili (KP) equation and a system of KP equations. We show that the extension terms do not kill the integrability of typical models. Hereman's simplified method is used...
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From:Advances in Mathematical PhysicsPeer-ReviewedThis paper is devoted to finding the asymptotic expansion of solutions to fractional partial differential equations with initial conditions. A new method, the residual power series method, is proposed for time-space...
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From:Advances in Mathematical Physics (Vol. 2018) Peer-ReviewedThe application of minimal length formalism in Klein-Gordon equation with Hulthen potential was studied in the case of scalar potential that was equal to vector potential. The approximate solution was used to solve the...
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From:Advances in Mathematical PhysicsPeer-ReviewedNonlinear partial differential equations (PDEs) modelling unsteady boundary-layer flows are solved by the spectral relaxation method (SRM) and the spectral quasilinearization method (SQLM). The SRM and SQLM are...
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From:Mathematical Problems in EngineeringPeer-ReviewedA nonlinear anisotropic hybrid diffusion equation is discussed for image denoising, which is a combination of mean curvature smoothing and Gaussian heat diffusion. First, we propose a new edge detection indicator, that...
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From:Journal of Applied and Engineering Mathematics (Vol. 9, Issue 1 SI) Peer-ReviewedIn this paper, we prove the existence, uniqueness and continuously of solution of two-dimensional Burgers' equations by iteration method. Keywords: Two Dimensional Parabolic Equation, Periodic Boundary Condition,...
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From:Journal of Applied and Engineering Mathematics (Vol. 2, Issue 1) Peer-ReviewedWe employ the idea of Hirota's bilinear method, to obtain some new exact soliton solutions for high nonlinear form of Multiple soliton solutions of second-order Benjamin-Ono equation. Multiple singular soliton solutions...
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From:Progress In Electromagnetics Research (Vol. 142) Peer-ReviewedWe advance the theory of the two-dimensional method of connected local fields (CLF) to the three-dimensional cases. CLF is suitable for obtaining semi-analytical solutions of Helmholtz equation. The fundamental building...
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From:Advances in Mathematical PhysicsPeer-ReviewedWe propose and analyze a new numerical method, called a coupling method based on a new expanded mixed finite element (EMFE) and finite element (FE), for fourth-order partial differential equation of parabolic type. We...
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From:Electronic Transactions on Numerical Analysis (Vol. 45) Peer-ReviewedAbstract. The mimetic discretization of a boundary value problem (BVP) seeks to reproduce the same underlying properties that are satisfied by the continuous solution. In particular, the Castillo-Grone mimetic finite...
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From:Mathematical Problems in EngineeringPeer-ReviewedThis paper proposes an alternative meshless approach to solve partial differential equations (PDEs). With a global approximate function being defined, a partial differential equation problem is converted into an...