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Vol.3 , No. 1, Publication Date: Jun. 13, 2017, Page: 1-5
 use to solve initial and boundary value problems of vary objective nature. The logical results are calculated in terms of convergent series with easily computable components. The Variation of Parameters Method (VPM) is use without any, transformation or restrictive assumptions, perturbation and discretization is free from round off errors and calculation of the so called Adomian’s polynomials. The recommended algorithm is tested on higher dimensional initial and boundary value problems, Helmholtz equations and Boussinesq and nonlinear boundary value problems of various orders. The Numerical results tell the complete consistency of the proposed in ternVPM.&picture=http://www.aascit.org/aascit/decorators/img/journal/928.jpg)
| [1] | Aqsa Mumtaz, Department of Mathematics, University of Wah, Wah, Pakistan. |
| [2] | Munaza Saeed, Department of Mathematics, University of Wah, Wah, Pakistan. |
| [3] | Muhammad Touqeer Shahzad, Department of Mathematics, University of Wah, Wah, Pakistan. |
| [4] | Qazi Mahmood Ul-Hassan, Department of Mathematics, University of Wah, Wah, Pakistan. |
| [5] | Kamran Ayub, Department of Mathematics, Riphah International University Islamabad, Pakistan. |
The Variation of Parameters Method (VPM) use to solve initial and boundary value problems of vary objective nature. The logical results are calculated in terms of convergent series with easily computable components. The Variation of Parameters Method (VPM) is use without any, transformation or restrictive assumptions, perturbation and discretization is free from round off errors and calculation of the so called Adomian’s polynomials. The recommended algorithm is tested on higher dimensional initial and boundary value problems, Helmholtz equations and Boussinesq and nonlinear boundary value problems of various orders. The Numerical results tell the complete consistency of the proposed in ternVPM.
Keywords
Helmholtz Equations, Higher Dimensional Problems, Adomian’s Polynomials, Nonlinear Problems, Error Estimates, Partial Differential Equations, Boussinesq Equations, Variation of Parameters Method
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