2013
DOI: 10.1007/s12043-013-0629-x
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Direct approach for solving nonlinear evolution and two-point boundary value problems

Abstract: Time-delayed nonlinear evolution equations and boundary value problems have a wide range of applications in science and engineering. In this paper, we implement the differential transform method to solve the nonlinear delay differential equation and boundary value problems. Also, we present some numerical examples including time-delayed nonlinear Burgers equation to illustrate the validity and the great potential of the differential transform method. Numerical experiments demonstrate the use and computational … Show more

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Cited by 7 publications
(1 citation statement)
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“…With the development of nonlinear Science, increasing scholars regard the world around us as a nonlinear system and thus a plenty of nonlinear PDEs are widely used as models in various fields of natural sciences [1,2]. A particular category of nonlinear PDEs are nonlinear fractional PDEs that have continually appeared in physics, chemistry, biology, polymeric materials, electromagnetic, acoustics, neutron point kinetic model, vibration and control, signal and image processing, fluid dynamics and so on [3][4][5][6].…”
Section: Introductionmentioning
confidence: 99%
“…With the development of nonlinear Science, increasing scholars regard the world around us as a nonlinear system and thus a plenty of nonlinear PDEs are widely used as models in various fields of natural sciences [1,2]. A particular category of nonlinear PDEs are nonlinear fractional PDEs that have continually appeared in physics, chemistry, biology, polymeric materials, electromagnetic, acoustics, neutron point kinetic model, vibration and control, signal and image processing, fluid dynamics and so on [3][4][5][6].…”
Section: Introductionmentioning
confidence: 99%