Invariant Inhomogeneous Bianchi Type-I Cosmological Models with Electromagnetic Fields Using Lie Group Analysis in Lyra Geometry by Ahmad T. Ali

“…For this, Lie group analysis method is used to identify the generators that leave the given system of nonlinear partial differential equations (NLPDEs) (Einstein field equations) invariant. …”
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Heat Transfer Analysis on the Hiemenz Flow of a Non-Newtonian Fluid: A Homotopy Method Solution by Yasir Khan, Zdeněk Šmarda

“…The governing equations are transformed into dimensionless nonlinear ordinary differential equations by similarity transformation. Analytical technique, namely, the homotopy perturbation method (HPM) with general form of linear operator is used to solve dimensionless nonlinear ordinary differential equations. …”
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Thermal Diffusion and Diffusion Thermo Effects on the Viscous Fluid Flow with Heat and Mass Transfer through Porous Medium over a Shrinking Sheet by Nabil Eldabe, Mahmoud Abu Zeid

“…This phenomenon is modulated mathematically by a set of partial differential equations which govern the continuity, momentum, heat, and mass. …”
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Cotton-Type and Joint Invariants for Linear Elliptic Systems by A. Aslam, F. M. Mahomed

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Similarity Requirements for Mixed Convective Boundary Layer Flow over Vertical Curvilinear Porous Surfaces with Heat Generation/Absorption by Kh. Abdul Maleque

“…Similarity requirements for an incompressible fluid are sought on the basis of detailed analyses in order to reduce the governing partial differential equations into a set of ordinary differential equations. …”
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Pseudo-Stieltjes calculus: $ \alpha- $pseudo-differentiability, the pseudo-Stieltjes integrability and applications by Caiqin Wang, Hongbin Xie, Zengtai Gong

“…The obtained results provide a framework for analyzing nonlinear differential equations.…”
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Controllability of semilinear stochastic delay evolution equations in Hilbert spaces by P. Balasubramaniam, J. P. Dauer

“…An application to stochastic partial differential equations is given.…”
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Oscillation Theorems for Even Order Damped Equations with Distributed Deviating Arguments by Chunxia Gao, Peiguang Wang

“…A class of even order damped differential equations with distributed deviating arguments are investigated. …”
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Representation of a Solution of the Cauchy Problem for an Oscillating System with Multiple Delays and Pairwise Permutable Matrices by Josef Diblík, Michal Fečkan, Michal Pospíšil

“…Nonhomogeneous system of linear differential equations of second order with multiple different delays and pairwise permutable matrices defining the linear parts is considered. …”
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Stability of Impulsive Differential Systems by Andrejs Reinfelds, Lelde Sermone

“…The asymptotic phase property and reduction principle for stability of a trivial solution is generalized to the case of the noninvertible impulsive differential equations in Banach spaces whose linear parts split into two parts and satisfy the condition of separation.…”
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Numerical Simulation and Symmetry Reduction of a Two-Component Reaction-Diffusion System by Jina Li, Xuehui Ji

“…In this paper, the symmetry classification and symmetry reduction of a two-component reaction-diffusion system are investigated, the reaction-diffusion system can be reduced to system of ordinary differential equations, and the solutions and numerical simulation will be showed by examples.…”
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A computational scheme of exponential integrator for fuzzy electrical boundary layer flow with variable viscosity and thermal conductivity by Muhammad Shoaib Arif, Kamaleldin Abodayeh, Yasir Nawaz

“…This study aims to d an efficient computational scheme for solving partial differential equations involving fuzzy parameters in boundary layer flow. …”
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The Effects of MHD Flow and Heat Transfer for the UCM Fluid over a Stretching Surface in Presence of Thermal Radiation by M. Subhas Abel, Jagadish V. Tawade, Jyoti N. Shinde

“…The governing system of partial differential equations are transformed into a system of coupled nonlinear ordinary differential equations and is solved numerically by efficient shooting technique. …”
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Thermal and Flow Dynamics of Magnetohydrodynamic Burgers' Fluid Induced by a Stretching Cylinder with Internal Heat Generation and Absorption by Fateh Mebarek-Oudina, G. Dharmaiah, J.L. Rama Prasad, H. Vaidya, Manda Aruna Kumari

“…By applying boundary layer theory, we transform the governing partial differential equations into a standard system of ordinary differential equations through similarity transformations. …”
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Lamb Waves in a Functionally Graded Composite Plate with Nonintegral Power Function Volume Fractions by Xiaoshan Cao, Zhen Qu, Junping Shi, Yan Ru

“…Based on the theory of elastodynamics, differential equations with variable coefficients are established. …”
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Solving Fokker-Planck Equations on Cantor Sets Using Local Fractional Decomposition Method by Shao-Hong Yan, Xiao-Hong Chen, Gong-Nan Xie, Carlo Cattani, Xiao-Jun Yang

“…The obtained results give the present method that is very effective and simple for solving the differential equations on Cantor set.…”
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Approximate Analytical Solutions of the Fractional-Order Brusselator System Using the Polynomial Least Squares Method by Constantin Bota, Bogdan Căruntu

“…PLSM allows us to compute approximate analytical solutions for the Brusselator system, which is a fractional-order system of nonlinear differential equations.…”
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Poincaré Bifurcations of Two Classes of Polynomial Systems by Jing Wang, Shuliang Shui

“…Using bifurcation methods and the Abelian integral, we investigate the number of the limit cycles that bifurcate from the period annulus of the singular point when we perturb the planar ordinary differential equations of the form , with an arbitrary polynomial vector field, where or .…”
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Generalised power series expansions for the elliptic planar families of Higgs + jet production at two loops by F. Moriello

“…This is achieved by defining differential equations along contours connecting two fixed points, and by solving them in terms of one-dimensional generalised power series. …”
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Analysis of Metallic Nanoparticles (Cu, Al2O3, and SWCNTs) on Magnetohydrodynamics Water-Based Nanofluid through a Porous Medium by P. K. Pattnaik, S. K. Parida, S. R. Mishra, M. Ali Abbas, M. M. Bhatti

“…To formulate the mathematical modelling, similarity transformations were used, and nonlinear differential equations were obtained. To solve the formulated nonlinear differential equations, the Runge–Kutta fourth-order numerical scheme is used in conjunction with the shooting technique. …”
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