Ummul Khair Salma Din

Some further results on oscillations for neutral delay differential equations with variable coefficients

We study the oscillatory behaviour of all solutions of first-order neutral equations with variable coefficients. The obtained results extend and improve some of the well-known results in the literature. Some examples are given to show the evidence of our new results.

Oscillation Criteria of First Order Neutral Delay Differential Equations with Variable Coefficients

Some new oscillation criteria are given for first order neutral delay differential equations with variable coefficients. Our results generalize and extend some of the well-known results in the literature. Some examples are considered to illustrate the main results.

Oscillation Criteria of Second-Order Nonlinear Differential Equations with Variable Coefficients

Some new oscillation criteria are given for second-order nonlinear differential equations with variable coefficients. Our results generalize and extend some of the well-known results in the literatures. Some examples are considered to illustrate the main results.

Some oscillation criteria for a class of second order nonlinear damped differential equations

A class of second order nonlinear damped differential equations is studied and several new oscillation conditions are obtained. Our results extend, improve and unify a number of existing results and handle the cases which are not covered by known criteria.

The parallel three-processor fifth order diagonally implicit Runge-Kutta methods for solving ordinary differential equations

Fifth order diagonally implicit Runge-Kutta methods with a modified sparsity structure suitable for parallel implementations on three processors are developed. The efficiency of the methods in terms of accuracy to solve a standard set of problems is compared to an established method. From the results we can conclude the new methods are comparable to the existing method.

Oscillations for Neutral Functional Differential Equations

We will consider a class of neutral functional differential equations. Some infinite integral conditions for the oscillation of all solutions are derived. Our results extend and improve some of the previous results in the literature.

Modified second derivative multistep method based on finite difference for solving ordinary differential equation

In this research, an modifiedsecond derivative multistep methods are constructed to solve ordinary differential equations (ODE). The idea of modification is based on central finite difference in order to get a new coefficient of the method. Numerical results are presented to illustrate the accuracy and efficiency of the modified method.

Set of Oscillation Criteria for Second Order Nonlinear Forced Differential Equations with Damping

By employing a generalized Riccati technique and an integral averaging technique, some new oscillation criteria are established for the second order nonlinear forced differential equation with damping. These results extend, improve, and unify some known oscillation criteria in the existing literature.

Oscillations for Nonlinear Neutral Delay Differential Equations with Variable Coefficients

A class of nonlinear neutral delay differential equations is considered. Some new oscillation criteria of all solutions are derived. The obtained results generalize and extend some of well known previous results in the literature.

SOLVING MEDICAL AKZO NOBEL PROBLEM USING FUNCTIONAL LOAD BALANCING ALGORITHM OF 4(3) DIRK METHOD

Medical Akzo Nobel problem (MEDAKZO) is known for its tenancy of incurring high computational cost. Originates from the penetration of radio-labeled antibodies into a tissue that has been infected by a tumor, the problem has been derived from a one dimensional partial differential equations to a two dimensional ordinary differential equations thus generates a large scale of problem to be solved. This paper presents the performance of a new 4(3) diagonally implicit Runge-Kutta (DIRK) method which is suitable to excellently solve MEDAKZO problem that is stiff in nature. The sparsity pattern designed on the method enable the functions evaluations to be computed simultaneously on two processors. The functional load balancing can be profitable especially in solving large problems.