The phrase "a variable coefficient" is correct and usable in written English.
It can be used in mathematical or statistical contexts to refer to a coefficient that can change or vary depending on certain conditions or parameters.
Example: "In the regression model, we included a variable coefficient to account for the changing relationship between the independent and dependent variables."
Alternatives: "a changing coefficient" or "a fluctuating coefficient".
LHPM presents an accurate methodology to solve non-homogeneous partial differential equations with a variable coefficient.
The pressure is determined everywhere in the domain (including inside the solids) using a variable coefficient Poisson equation.
Then, a novel weighted augmented Jacobian matrix with a variable coefficient (WAJM-VC) method for kinematics mapping is proposed.
In this paper, a Laplace homotopy perturbation method is employed for solving one-dimensional non-homogeneous partial differential equations with a variable coefficient.
Xu in [38] studied analytically the time fractional wave-like differential equation with a variable coefficient, the author reduced the governing equation to two fractional ordinary differential equations.
In [31], a Laplace homotopy perturbation method is employed for solving one-dimensional non-homogeneous partial differential equations with a variable coefficient.
The incompressibility constraint is imposed by solving a variable-coefficient pressure equation.
There are several forms that a variable-coefficient hyperbolic partial differential equation might take, each of which arises depending on the context.
We estimate measures of infinitely many small divisors, build a variable-coefficient symplectic transformation, and show an infinite-dimensional KAM theorem for non-autonomous Hamiltonian systems.
The spatial discretisation is performed with high-order compact schemes, and a FFT based constant-coefficient spectral solver is employed to solve a variable-coefficient Poisson equation.
We develop a fast collocation scheme for a variable-coefficient nonlocal diffusion model, for which a numerical discretization would yield a dense stiffness matrix.
