The design and operations of constructing project has become of concern to an ever-increasing seg... more The design and operations of constructing project has become of concern to an ever-increasing segment of the scientific and professional world. It is very difficult task to complete the selected project within the ranges of Budget and limited source. Sometimes we haven’t enough money to complete a project work. In this work a new idea is developed, which is very effective to find out the maximum benefits by formulating a constructing project, applying linear programming and using simplex methods. The linear requirements and non-negativity conditions state that the variables cannot assume negative values. It is not possible to have negative resources. We also use the graphical method to solve a linear Programming problem involving resource allocation. .
There are many equations in mathematics which are used in our practical life. Burger's equation i... more There are many equations in mathematics which are used in our practical life. Burger's equation is one of them which is a good simplification of Navier-Stokes equation where the velocity is one spatial dimension and the external force is neglected in absence of pressure gradient. This equation is used to analyze traffic congestion and acoustics. It occurs in various areas of applied mathematics, such as modeling of various problems in fluid dynamics and traffic flow etc. Due to the complexity of the analytical solutio n, one needs to use numerical methods to solve this equation. For this we investigate finite difference method for Burger's equation and present an explicit central difference scheme. We implement the numerical by computer programming for artificial initial and boundary data and verify the qualitative behavior of the numerical solution of burger's equation.
The design and operations of constructing project has become of concern to an ever-increasing seg... more The design and operations of constructing project has become of concern to an ever-increasing segment of the scientific and professional world. It is very difficult task to complete the selected project within the ranges of Budget and limited source. Sometimes we haven’t enough money to complete a project work. In this work a new idea is developed, which is very effective to find out the maximum benefits by formulating a constructing project, applying linear programming and using simplex methods. The linear requirements and non-negativity conditions state that the variables cannot assume negative values. It is not possible to have negative resources. We also use the graphical method to solve a linear Programming problem involving resource allocation. .
There are many equations in mathematics which are used in our practical life. Burger's equation i... more There are many equations in mathematics which are used in our practical life. Burger's equation is one of them which is a good simplification of Navier-Stokes equation where the velocity is one spatial dimension and the external force is neglected in absence of pressure gradient. This equation is used to analyze traffic congestion and acoustics. It occurs in various areas of applied mathematics, such as modeling of various problems in fluid dynamics and traffic flow etc. Due to the complexity of the analytical solutio n, one needs to use numerical methods to solve this equation. For this we investigate finite difference method for Burger's equation and present an explicit central difference scheme. We implement the numerical by computer programming for artificial initial and boundary data and verify the qualitative behavior of the numerical solution of burger's equation.
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Papers by Shifat Ahmed