Sentence examples for matrix for solving from inspiring English sources

The smaller norm has a big advantage when using the derivative matrix for solving time dependent problems such as wave propagation.

Our main motivation for preparing this paper is to generalize shifted Jacobi function operational matrix for solving fuzzy fractional differential equations of order 0 < v < 1 under Caputo's H-differentiability.

The feature of the proposed TDE method is to employ the partial differentiation for the time domain CIR matrix for solving the maximum likelihood (ML) equation in which the time domain CIR matrix becomes a symmetric banded matrix.

The salient feature of the proposed TDE method is to employ a partial differentiation for the time domain CIR matrix for solving the maximum likelihood (ML) equation in which the time domain CIR matrix becomes a symmetric banded matrix.

For nonlinear problems, when the Newton Raphson method is used, the tangent stiffness matrix yields the desired sensitivity coefficient matrix for solving the linear sensitivity equations in the Galerkin finite element formulation.

In order to use the tau method with the Laguerre operational matrix for solving the fully integrated problem (Equation 23) with initial conditions (Equation 21), we approximate u(x) and g(x) by the Laguerre polynomials as follows: u N ( x ) ≃ ∑ i = 0 N c i L i ( x ) = C T ϕ ( x ), Open image in new window (24) g ( x ) ≃ ∑ i = 0 N g i L i ( x ) = G T ϕ ( x ), Open image in new window (25).

Section "Description of the proposed method", as the main section, is devoted applying the operational matrices for solving a class of VO fractional PDEs.

In addition, recently in the two papers of Abd-Elhameed [28, 29] one introduced and used two Galerkin operational matrices for solving, respectively, the sixth-order two point BVPs and Lane-Emden equations.

The second bottleneck spotted in CRYSTALS is the matrix inversion for solving the linearised problem.

The authors of [17] proposed a Bernoulli operational matrix method for solving a generalized pantograph equation.

We also use the sine-cosine operational matrix method for solving the equation with the solution in the interval ([0,10]).