Solving nonlinear fractional partial differential equations using the homotopy analysis method
M Dehghan, J Manafian… - Numerical Methods for …, 2010 - Wiley Online Library
In this article, the homotopy analysis method is applied to solve nonlinear fractional partial
differential equations. On the basis of the homotopy analysis method, a scheme is …
differential equations. On the basis of the homotopy analysis method, a scheme is …
Design of neuro-swarming-based heuristics to solve the third-order nonlinear multi-singular Emden–Fowler equation
In this study, a novel neuro-swarming computing solver is developed for numerical treatment
of third-order nonlinear multi-singular Emden–Fowler equation (TONMS-EFE) by using …
of third-order nonlinear multi-singular Emden–Fowler equation (TONMS-EFE) by using …
Heuristic computing technique for numerical solutions of nonlinear fourth order Emden–Fowler equation
The present study presents numerical solution of the fourth order, singular, nonlinear Emden–
Fowler equation integrated computational intelligence by exploiting the efficiency of …
Fowler equation integrated computational intelligence by exploiting the efficiency of …
Design and numerical solutions of a novel third‐order nonlinear Emden–Fowler delay differential model
In this study, the design of a novel model based on nonlinear third‐order Emden–Fowler
delay differential (EF‐DD) equations is presented along with two types using the sense of …
delay differential (EF‐DD) equations is presented along with two types using the sense of …
[HTML][HTML] Solving a novel designed second order nonlinear Lane–Emden delay differential model using the heuristic techniques
The aim of the present study is to present a new model based on the nonlinear singular
second order delay differential equation of Lane–Emden type and numerically solved by …
second order delay differential equation of Lane–Emden type and numerically solved by …
Solving a new design of nonlinear second-order Lane–Emden pantograph delay differential model via Bernoulli collocation method
The present study is related to the design of a new mathematical model based on the Lane–
Emden pantograph delay differential equation. The new model is obtained by using the …
Emden pantograph delay differential equation. The new model is obtained by using the …
Neuro-swarm intelligent computing to solve the second-order singular functional differential model
The aim of the present study is to solve the singular second-order functional differential
model with the development of neuro-swarm intelligent computing solver ANN–PSO–SQP …
model with the development of neuro-swarm intelligent computing solver ANN–PSO–SQP …
[HTML][HTML] A neural network computational procedure for the novel designed singular fifth order nonlinear system of multi-pantograph differential equations
The current investigations present the numerical solutions of the novel singular nonlinear
fifth-order (SNFO) system of multi-pantograph differential model (SMPDM), ie, SNFO …
fifth-order (SNFO) system of multi-pantograph differential model (SMPDM), ie, SNFO …
[HTML][HTML] Solution of delay differential equations via a homotopy perturbation method
Delay differential equations (denoted as DDE) have a wide range of application in science
and engineering. They arise when the rate of change of a time-dependent process in its …
and engineering. They arise when the rate of change of a time-dependent process in its …
Bridging machine learning and weighted residual methods for delay differential equations of fractional order
In this research, an attempt has been made to build a bridge between a machine learning
model called Least-Squares Support Vector Regression (LS-SVR) and Weighted Residual …
model called Least-Squares Support Vector Regression (LS-SVR) and Weighted Residual …