1
Department of Mathematics, Kerman Graduate University of Technology, Mahan, Kerman, Iran
2
Shahid Beheshti University
Abstract
Pollution has become a very serious threat to our environment. Monitoring pollution is the rst step toward planning to save the environment. The use of di erential equations, monitoring pollution has become possible. In this paper, a Ritz-collocation method is introduced to solve non-linear oscillatory systems such as modelling the pollution of a system of lakes. The method is based upon Bernoulli polynomials. These polynomials are rst presented. The Bernoulli Ritz-collocation method is then utilized to reduce modelling the pollution of a system of lakes to the solution of algebraic equations. An illustrative example is included to demonstrate the validity and applicability of the proposed method.
Sokhanvar, E., & yousefi, S. (2014). The Bernoulli Ritz-collocation method to the solution of modelling the pollution of a system of lakes. Caspian Journal of Mathematical Sciences, 3(2), 253-265.
MLA
E. Sokhanvar; S. yousefi. "The Bernoulli Ritz-collocation method to the solution of modelling the pollution of a system of lakes", Caspian Journal of Mathematical Sciences, 3, 2, 2014, 253-265.
HARVARD
Sokhanvar, E., yousefi, S. (2014). 'The Bernoulli Ritz-collocation method to the solution of modelling the pollution of a system of lakes', Caspian Journal of Mathematical Sciences, 3(2), pp. 253-265.
VANCOUVER
Sokhanvar, E., yousefi, S. The Bernoulli Ritz-collocation method to the solution of modelling the pollution of a system of lakes. Caspian Journal of Mathematical Sciences, 2014; 3(2): 253-265.
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