Haar based numerical solution of Fredholm-Volterra fractional integro-differential equation with nonlocal boundary conditions

Application of Higher Order Haar Wavelet Method for Solving Nonlinear Evolution Equations

“…Thus, the wavelet expansion is applied to derivatives of integer order. An alternate approach was employed in [44,53,60,62] where the fractional derivatives are expanded directly to wavelet series.…”

Approximate solutions of Volterra-Fredholm integro-differential equations of fractional order

“…Therefore, finding more accurate solutions using numerical schemes can be helpful. Some numerical algorithm for solving integrodifferential equation of fractional order can be summarized as follows: but not limited to; Adomian decomposition method [16,18,19], Laplace decomposition method [32], Taylor expansion method [9], least squares method [17] differential transform method [5,21], Spectral collocation method [14], Legendre wavelets method [24,26], Haar wavelets method [7], Chebyshev wavelets method [29,33,37], piecewise collocation methods [23,36], Chebyshev pseudo-spectral method [10,31], homotopy analysis method [1,35,38], homotopy perturbation method [6,20,25] and variational iteration method [6,20].…”

Numerical Solution of First-Order Linear Differential Equations in Fuzzy Environment by Runge-Kutta-Fehlberg Method and Its Application

“…Numerical methods are the methods by which we can find the solution of differential equation where the exact solution is critical to find. There exist various numerical methods for solving differential equation such as Setia et al [9], Liu [10], and Setia et al [11]. Our aim is to find the numerical techniques by which the solution of a linear or nonlinear first-order fuzzy differential equation comes easily and the solution is very close to the exact solution.…”