Thedynamical behavior of different Steffensen-typemethods is analyzed.We check the chaotic behaviors alongside the convergence radii (understood as the wideness of the basin ...

In this paper, a new pseudo-spectral (PS) method is developed for solving op- timal control problems governed by the non-linear Volterra integral equation (VIE). The novel ...

The semi-linear equation - uxx - euyy = f(x,y,u) with Dirichlet boundary conditions is solved by an O(h^4) finite different method, which has local truncation error O(h^2) at ...

The basins of convergence of cubic polynomials having real roots are studied using the Newton-Raphson iterative method. The limiting value for the ratio of basin segments for ...

In this paper, we use the Adomian decomposition method (ADM) for obtaining soliton solution of the Kaup–Kupershmidt (KK) equation. We prove the convergence of this method ...

Smoothing[y, method] performs smoothing of the data contained in vector y and returns the vector of smoothed data as a result. It is assumed that elements of list y are a ...

This book presents and explains a general, efficient, and elegant method for solving the Dirichlet, Neumann, and Robin boundary value problems for the extensional deformation ...

In this paper, we construct explicit exact solutions for the Coupled Boiti-Leon-Pempinelli equation (BLP equation) by using a extended tanh method and symbolic computation ...

In this paper, the focussing of the transmitted electromagnetic field through a quadric inhomogeneous slab of lossless uniaxial chiral medium is derived using transmission ...

The book contains an extensive illustration of use of finite difference method in solving the boundary value problem numerically. A wide class of differential equations has ...