Facing the worldwide coronavirus disease 2019 (COVID-19) pandemic, a new fitting method (QDF, quasi-distribution fitting) which can be used to analyze data of COVID-19 is developed based on piecewise quasi-uniform B-spline curves. For any given country or district, it simulates distribution histogram made from daily confirmed cases (or other including recovery and fatality cases) with After usi...

in this paper, numerical spline-based differential quadrature is presented for solving the boundary and initial value problems, and its application is used to solve the fixed rectangular membrane vibration equation. for the time integration of the problem, the runge–kutta and spline-based differential quadrature methods have been applied. the runge–kutta method was unstable for solving the prob...

The paper considers a numerical method for solving the Fredholm integral equation of first kind. essence is to replace original with corresponding regularized second kind, which then solved by modified spline collocation method. solution in this case represented as linear combination minimal splines. coefficients at splines are computed using local approximation (in some cases, quasi-interpolat...

Nonlinear fractional differential equations are widely used to model real-life phenomena. For this reason, there is a need for efficient numerical methods solve such problems. In respect, collocation particularly attractive their ability deal with the nonlocal behavior of derivative. Among variety methods, based on spline approximations preferable since can be represented by local bases, thereb...

Quartic non-polynomial spline function approximation in off step points is developed, for the solution of fourth-order boundary value problems. Using consistency relation of such spline and suitable choice of parameter,we have obtained second, fourth and sixth orders methods. Convergence analysis of sixth order method has been given. The methods are illustrated by some examples, to verify the or...