An Extended Method of Quasilinearization for Nonlinear Impulsive Differential Equations with a Nonlinear Three-Point Boundary Condition
نویسندگان
چکیده
In this paper, we discuss an extended form of generalized quasilinearization technique for first order nonlinear impulsive differential equations with a nonlinear three-point boundary condition. In fact, we obtain monotone sequences of upper and lower solutions converging uniformly and quadratically to the unique solution of the problem.
منابع مشابه
Numerical quasilinearization scheme for the integral equation form of the Blasius equation
The method of quasilinearization is an effective tool to solve nonlinear equations when some conditions on the nonlinear term of the problem are satisfied. When the conditions hold, applying this technique gives two sequences of coupled linear equations and the solutions of these linear equations are quadratically convergent to the solution o...
متن کاملThe method of quasilinearization for the periodic boundary value problem for systems of impulsive differential equations
The method of quasilinearization of Bellman and Kalaba [2] has been extended, refined, and generalized when the forcing function is the sum of a convex and concave function using coupled lower and upper solutions. This method is now known as the method of generalized quasilinearization. It has all the advantages of the quasilinearization method such that the iterates are solutions of linear sys...
متن کاملAn Efficient Numerical Method to Solve the Boundary Layer Flow of an Eyring-Powell Non-Newtonian Fluid
In this paper, the boundary layer flow of an Eyring-Powell non-Newtonian fluid over a linearly stretching sheet is solved using the combination of the quasilinearization method and the Fractional order of Rational Chebyshev function (FRC) collocation method on a semi-infinite domain. The quasilinearization method converts the equation into a sequence of linear equations then, using the FRC coll...
متن کاملAn existence result for n^{th}-order nonlinear fractional differential equations
In this paper, we investigate the existence of solutions of some three-point boundary value problems for n-th order nonlinear fractional differential equations with higher boundary conditions by using a fixed point theorem on cones.
متن کاملNumerical solution of variational problems via Haar wavelet quasilinearization technique
In this paper, a numerical solution based on Haar wavelet quasilinearization (HWQ) is used for finding the solution of nonlinear Euler-Lagrange equations which arise from the problems in calculus of variations. Some examples of variational problems are given and outcomes compared with exact solutions to demonstrate the accuracy and efficiency of the method.
متن کامل