Computable Error Bounds for a Class of Boundary Value Problems: a Coefficients Perturbation Approach

  •  Mohamed El Daou    
  •  Ahmad Al-Hamdan    


This paper is concerned with computing  upper and lower bounds for the error committed when some boundary value problems are approximated by means of numerical techniques  based on the Coefficients Perturbation Methods. These computed bounds are expressed in terms of the perturbations introduced in the differential equation and in the prescribed boundary conditions associated with it. Numerical examples demonstrating the sharpness of our results are given.

This work is licensed under a Creative Commons Attribution 4.0 License.