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Size-dependent free vibration analysis of multidirectional functionally graded nanobeams via a nonlocal strain gradient theory
The free vibration behavior of a new advanced functionally graded (FG) nanobeam is presented in this work using the recently proposed nonlocal...
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Superconvergence of UWLDG Method for One-Dimensional Linear Sixth-Order Equations
This paper concerns the superconvergence property of the ultraweak-local discontinuous Galerkin (UWLDG) method for one-dimensional linear sixth-order...
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Auto-Bäcklund Transformation with the Solitons and Similarity Reductions for a Generalized Nonlinear Shallow Water Wave Equation
Studies on the shallow water waves belong to the cutting-edge issues in sciences and engineering. In this paper, introducing symbolic computation,...
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A Combined Taylor–Bernstein Approximation for Solving Non-linear Fitz-Hugh–Nagumo Equation
In this paper, a new combined approximation technique is developed to solve the Fitz-Hugh–Nagumo (FHN) equation. This combined technique is based on...
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Lie–Backlund Symmetry Generators and a Variety of Novel Periodic-Soliton Solutions to the Complex-Mode of Modified Korteweg-de Vries Equation
In this study, we reexamine the complex mode of the modified Korteweg-de Vries (cmKdV) equation. First, we establish the Lie–Backlund symmetry...
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Dynamics of General Soliton and Rational Solutions in the \((3+1)\)-Dimensional Nonlocal Mel’nikov Equation with Non-zero Background
Employing the KP reduction approach, the primary goal of this research work is to investigate the soliton and rational solutions of the
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Nonlinear bending behavior of functionally graded porous beams based on sinusoidal shear deformation theory
A finite element formulation based on sinusoidal shear deformation theory is established to investigate linear and nonlinear bending analysis of...
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On the Existence and Partial Stability of Standing Waves for a Nematic Liquid Crystal Director Field Equations
In this paper, following the studies in Amorim et al. (Partial Differ Equ Appl 4, 36, 2023), we consider some new aspects of the motion of the...
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Mittag-Leffler stability and Lyapunov stability for a problem arising in porous media
A fractional order problem arising in porous media is considered. Well-posedness as well as stability are discussed. Mittag-Leffler stability is...
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Berry-Esseen bounds and moderate deviations for the norm, entries and spectral radius of products of positive random matrices
Let ( g n ) n ⩾l be a sequence of independent and identically distributed positive random d × d matrices and consider the matrix product G n = g n ⋯ g 1 ....
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Solution of the non-linear time-fractional Kudryashov–Sinelshchikov equation using fractional reduced differential transform method
In this research, we analyze the non-linear time-fractional Kudryashov–Sinelshchikov equation, which represents waves induced by pressure inside the...
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A new nonlinear compact difference scheme for a fourth-order nonlinear Burgers type equation with a weakly singular kernel
In this study, we propose a new nonlinear compact difference scheme (NCDS) for a fourth-order nonlinear Burgers type equation (FO-NBTE) with a weakly...
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Dynamics of Lump, Breather, Two-Waves and Other Interaction Solutions of (2+1)-Dimensional KdV Equation
In this investigation, we address a particular variant of the Korteweg–de Vries (KdV) equation, specifically focusing on the (2+1)-dimensional KdV...
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Estimation of a heat source in a parabolic equation with nonlocal Wentzell boundary condition using a spectral technique
We present a numerical method for approximating the temperature distribution and a time-dependent source function in the one-dimensional heat...
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On the Usefulness of the Vector Field Singular Points Shapes for Classification
The objects’ features play significant role in the machine learning classification. The present paper proofs and validates that the shapes of vector...
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Contact Symmetries and Linearization of Certain Classes of Financial Models
We consider a class of (1+2)-dimensional nonlinear partial differential equations. Special cases have been used to model recent problems in financial...
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Exponential Stabilization of a Flexible Structure: A Delayed Boundary Force Control Versus a Delayed Boundary Moment Control
The main concern of this paper is to study the boundary stabilization problem of the disk-beam system. To do so, we assume that the boundary control...
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Exponential Entropy Dissipation for Weakly Self-Consistent Vlasov–Fokker–Planck Equations
We study long-time dynamical behaviors of weakly self-consistent Vlasov–Fokker–Planck equations. We introduce Hessian matrix conditions on mean-field...