A kind of improved bivariate even order Bernoulli-type multiquadric quasi-interpolation operator and its application in two-dimensional coupled Burgers’ equations by Ruifeng Wu

“…Furthermore, applying the proposed quasi-interpolation operator, we present the explicit algorithm of numerical differentiation. Several examples to the fitting of discrete solutions of two-dimensional coupled Burgers’ equations are given.…”
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A new finite difference algorithm for boundary value problems involving transmission conditions by Semih Çavuşoğlu, Oktay Sh. Mukhtarov

“…The finite difference method (FDM) is used to find an approximate solution to ordinary and partial differential equations of various type using finite difference equations to approximate derivatives. …”
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Temperature Effects on Nonlinear Vibration Behaviors of Euler-Bernoulli Beams with Different Boundary Conditions by Yaobing Zhao, Chaohui Huang

“…The PDEs of the planar motion are discretized to a set of second-order ordinary differential equations by using the Galerkin method. As to three different boundary conditions, eigenvalue analyses are performed to obtain the close-form eigenvalue solutions. …”
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Cylindrical shells and panels subject to bilateral and unilateral contact constraints by McGlennon da Rocha Régis, Ricardo Azoubel da Mota Silveira, Christianne de Lyra Nogueira, Paulo B. Gonçalves

“…The chosen method for discretizing the partial differential equilibrium equation contact problem is the finite difference method (FDM). …”
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NANOFLUID FLOW ON A VERTICAL CYLINDER UNDER THE EFFECT OF MAGNETOHYDRODYNAMICS by Manal H. Saleh

“…These equations are transformed to dimensionless equations using vorticity-stream function method and the resulting nonlinear system of partial differential equations are then solved numerically using finite difference approximation. …”
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Natural Convection Flow on a Vertical Cylinder with Sinusoidal Temperature Oscillation Under The Effect of Magneto Hydrodynamic by Manal H. AL-Hafidh

“…These equations are transformed to dimensionless equations using vortices-stream function method and the resulting nonlinear system of partial differential equations are then solved numerically using finite difference approximation. …”
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Temperature Stabilization of Electromagnetic Wave Phase Velocity in Rectangular Waveguide with Layered Nanocomposite Ferroelectric Film by I. G. Mironenko, A. A. Ivanov

“…The numerical model is based on the scalar form of the finite element method reduced to a homogeneous system of lin-ear algebraic equations with respect to nodal values of the wave scalar for one-dimensional approximation. …”
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Entropy analysis in a mixed convective Carreau nanofluid flow around a wedge: impact of activation energy and sinusoidal magnetic field by P. M. Patil, Bharath Goudar

“…The numerical solution to these PDEs is obtained by applying quasilinearization followed by the implicit finite difference approach. …”
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